111790008960 has 512 divisors, whose sum is σ = 432937612800. Its totient is φ = 24034738176.

The previous prime is 111790008949. The next prime is 111790008989. The reversal of 111790008960 is 69800097111.

It is a super-2 number, since 2×111790008960² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 66029874 + ... + 66031566.

It is an arithmetic number, because the mean of its divisors is an integer number (845581275).

Almost surely, 2^111790008960 is an apocalyptic number.

111790008960 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 111790008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216468806400).

111790008960 is an abundant number, since it is smaller than the sum of its proper divisors (321147603840).

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

111790008960 is an equidigital number, since it uses as much as digits as its factorization.

111790008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 42.

The spelling of 111790008960 in words is "one hundred eleven billion, seven hundred ninety million, eight thousand, nine hundred sixty".