11752031400 has 48 divisors (see below), whose sum is σ = 36431299200. Its totient is φ = 3133874880.

The previous prime is 11752031377. The next prime is 11752031429. The reversal of 11752031400 is 413025711.

11752031400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11752031400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9792760 + ... + 9793959.

It is an arithmetic number, because the mean of its divisors is an integer number (758985400).

Almost surely, 2^11752031400 is an apocalyptic number.

11752031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11752031400 is an abundant number, since it is smaller than the sum of its proper divisors (24679267800).

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

11752031400 is a wasteful number, since it uses less digits than its factorization.

11752031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19586738 (or 19586729 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 11752031400 in words is "eleven billion, seven hundred fifty-two million, thirty-one thousand, four hundred".