11252515556400 has 120 divisors (see below), whose sum is σ = 37612756439040. Its totient is φ = 2870206859520.

The previous prime is 11252515556329. The next prime is 11252515556411. The reversal of 11252515556400 is 465551525211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203822320 + ... + 203877519.

It is an arithmetic number, because the mean of its divisors is an integer number (313439636992).

Almost surely, 2^{11252515556400} is an apocalyptic number.

11252515556400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11252515556400 is an abundant number, since it is smaller than the sum of its proper divisors (26360240882640).

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

11252515556400 is a wasteful number, since it uses less digits than its factorization.

11252515556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407699883 (or 407699872 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 42.

The spelling of 11252515556400 in words is "eleven trillion, two hundred fifty-two billion, five hundred fifteen million, five hundred fifty-six thousand, four hundred".