111768081975200 has 1152 divisors, whose sum is σ = 333111479500800. Its totient is φ = 36563672678400.

The previous prime is 111768081975181. The next prime is 111768081975223. The reversal of 111768081975200 is 2579180867111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 331656029432 + ... + 331656029768.

It is an arithmetic number, because the mean of its divisors is an integer number (289159270400).

Almost surely, 2^{111768081975200} is an apocalyptic number.

111768081975200 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 111768081975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166555739750400).

111768081975200 is an abundant number, since it is smaller than the sum of its proper divisors (221343397525600).

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

111768081975200 is a wasteful number, since it uses less digits than its factorization.

111768081975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 56.

The spelling of 111768081975200 in words is "one hundred eleven trillion, seven hundred sixty-eight billion, eighty-one million, nine hundred seventy-five thousand, two hundred".