111712895078400 has 1404 divisors, whose sum is σ = 507775895222544. Its totient is φ = 23212965888000.

The previous prime is 111712895078377. The next prime is 111712895078401. The reversal of 111712895078400 is 4870598217111.

It is a happy number.

111712895078400 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 12 + 89 + 507 + 8 + 40 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (111712895078401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 496629955 + ... + 496854845.

It is an arithmetic number, because the mean of its divisors is an integer number (361663743036).

Almost surely, 2^{111712895078400} is an apocalyptic number.

111712895078400 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 111712895078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253887947611272).

111712895078400 is an abundant number, since it is smaller than the sum of its proper divisors (396063000144144).

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

111712895078400 is a wasteful number, since it uses less digits than its factorization.

111712895078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224956 (or 224919 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 54.

The spelling of 111712895078400 in words is "one hundred eleven trillion, seven hundred twelve billion, eight hundred ninety-five million, seventy-eight thousand, four hundred".