11625594400 has 72 divisors (see below), whose sum is σ = 32435424000. Its totient is φ = 3985916160.

The previous prime is 11625594397. The next prime is 11625594401. The reversal of 11625594400 is 449552611.

It is a super-2 number, since 2×11625594400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11625594400.

It is not an unprimeable number, because it can be changed into a prime (11625594401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032400 + ... + 1043599.

It is an arithmetic number, because the mean of its divisors is an integer number (450492000).

Almost surely, 2^11625594400 is an apocalyptic number.

11625594400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11625594400 is an abundant number, since it is smaller than the sum of its proper divisors (20809829600).

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

11625594400 is a wasteful number, since it uses less digits than its factorization.

11625594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076026 (or 2076013 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 11625594400 in words is "eleven billion, six hundred twenty-five million, five hundred ninety-four thousand, four hundred".