111955970880 has 1568 divisors, whose sum is σ = 475733059200. Its totient is φ = 24831442944.

The previous prime is 111955970879. The next prime is 111955970939. The reversal of 111955970880 is 88079559111.

It is a happy number.

111955970880 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 559 + 7 + 0 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1670984607 + ... + 1670984673.

Almost surely, 2^111955970880 is an apocalyptic number.

111955970880 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 111955970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237866529600).

111955970880 is an abundant number, since it is smaller than the sum of its proper divisors (363777088320).

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

111955970880 is a wasteful number, since it uses less digits than its factorization.

111955970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 54.

The spelling of 111955970880 in words is "one hundred eleven billion, nine hundred fifty-five million, nine hundred seventy thousand, eight hundred eighty".