111044878560 has 1536 divisors, whose sum is σ = 522024652800. Its totient is φ = 21339832320.

The previous prime is 111044878559. The next prime is 111044878573. The reversal of 111044878560 is 65878440111.

111044878560 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 4 + 4 + 87 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 412806106 + ... + 412806374.

It is an arithmetic number, because the mean of its divisors is an integer number (339859800).

Almost surely, 2^111044878560 is an apocalyptic number.

111044878560 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 111044878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261012326400).

111044878560 is an abundant number, since it is smaller than the sum of its proper divisors (410979774240).

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

111044878560 is a wasteful number, since it uses less digits than its factorization.

111044878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 111044878560 in words is "one hundred eleven billion, forty-four million, eight hundred seventy-eight thousand, five hundred sixty".