111952800960 has 2016 divisors, whose sum is σ = 524064219840. Its totient is φ = 19983237120.

The previous prime is 111952800931. The next prime is 111952800979. The reversal of 111952800960 is 69008259111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1257896596 + ... + 1257896684.

It is an arithmetic number, because the mean of its divisors is an integer number (259952490).

Almost surely, 2^111952800960 is an apocalyptic number.

111952800960 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 111952800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262032109920).

111952800960 is an abundant number, since it is smaller than the sum of its proper divisors (412111418880).

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

111952800960 is a wasteful number, since it uses less digits than its factorization.

111952800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 111952800960 in words is "one hundred eleven billion, nine hundred fifty-two million, eight hundred thousand, nine hundred sixty".