11172655166400 has 2016 divisors, whose sum is σ = 51043929408000. Its totient is φ = 2356434063360.

The previous prime is 11172655166399. The next prime is 11172655166411. The reversal of 11172655166400 is 466155627111.

11172655166400 is a `hidden beast` number, since 1 + 1 + 1 + 72 + 6 + 5 + 516 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×11172655166400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4139552251 + ... + 4139554949.

Almost surely, 2^{11172655166400} is an apocalyptic number.

11172655166400 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 11172655166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25521964704000).

11172655166400 is an abundant number, since it is smaller than the sum of its proper divisors (39871274241600).

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

11172655166400 is an equidigital number, since it uses as much as digits as its factorization.

11172655166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 11172655166400 in words is "eleven trillion, one hundred seventy-two billion, six hundred fifty-five million, one hundred sixty-six thousand, four hundred".