111987878400 has 300 divisors, whose sum is σ = 414479205822. Its totient is φ = 29863157760.

The previous prime is 111987878381. The next prime is 111987878407. The reversal of 111987878400 is 4878789111.

111987878400 is a `hidden beast` number, since 1 + 11 + 98 + 78 + 78 + 400 = 666.

111987878400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 95229022464 + 16758855936 = 308592^2 + 129456^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (111987878407) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 982794 + ... + 1090806.

Almost surely, 2^111987878400 is an apocalyptic number.

111987878400 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 111987878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207239602911).

111987878400 is an abundant number, since it is smaller than the sum of its proper divisors (302491327422).

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

111987878400 is an equidigital number, since it uses as much as digits as its factorization.

111987878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108053 (or 108023 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

The spelling of 111987878400 in words is "one hundred eleven billion, nine hundred eighty-seven million, eight hundred seventy-eight thousand, four hundred".