11552171400 has 960 divisors, whose sum is σ = 51265022400. Its totient is φ = 2400451200.

The previous prime is 11552171387. The next prime is 11552171417. The reversal of 11552171400 is 417125511.

11552171400 is a `hidden beast` number, since 1 + 1 + 552 + 1 + 71 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1050197395 + ... + 1050197405.

It is an arithmetic number, because the mean of its divisors is an integer number (53401065).

Almost surely, 2^11552171400 is an apocalyptic number.

11552171400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11552171400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25632511200).

11552171400 is an abundant number, since it is smaller than the sum of its proper divisors (39712851000).

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

11552171400 is an frugal number, since it uses more digits than its factorization.

11552171400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 11552171400 its reverse (417125511), we get a palindrome (11969296911).

The spelling of 11552171400 in words is "eleven billion, five hundred fifty-two million, one hundred seventy-one thousand, four hundred".