11172172550400 has 729 divisors, whose sum is σ = 42213539064879. Its totient is φ = 2818593054720.

The previous prime is 11172172550377. The next prime is 11172172550423. The reversal of 11172172550400 is 405527127111.

It is a happy number.

The square root of 11172172550400 is 3342480.

It is a perfect power (a square), and thus also a powerful number.

11172172550400 is a `hidden beast` number, since 1 + 1 + 17 + 21 + 72 + 550 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11172172550377) and next prime (11172172550423).

It can be written as a sum of positive squares in 4 ways, for example, as 2526879027456 + 8645293522944 = 1589616^2 + 2940288^2 .

It is a super-2 number, since 2×11172172550400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15241708434 + ... + 15241709166.

Almost surely, 2^{11172172550400} is an apocalyptic number.

11172172550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11172172550400 is the 3342480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11172172550400

11172172550400 is an abundant number, since it is smaller than the sum of its proper divisors (31041366514479).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11172172550400 is an frugal number, since it uses more digits than its factorization.

11172172550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

Multiplying 11172172550400 by its sum of digits (36), we get a square (402198211814400 = 20054880²).

11172172550400 divided by its sum of digits (36) gives a square (310338126400 = 557080²).

Adding to 11172172550400 its reverse (405527127111), we get a palindrome (11577699677511).

The spelling of 11172172550400 in words is "eleven trillion, one hundred seventy-two billion, one hundred seventy-two million, five hundred fifty thousand, four hundred".