113527720876800 has 864 divisors, whose sum is σ = 380796588958464. Its totient is φ = 29784268800000.

The previous prime is 113527720876783. The next prime is 113527720876831. The reversal of 113527720876800 is 8678027725311.

It is a super-2 number, since 2×113527720876800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171751468470 + ... + 171751469130.

It is an arithmetic number, because the mean of its divisors is an integer number (440736792776).

Almost surely, 2^{113527720876800} is an apocalyptic number.

113527720876800 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 113527720876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190398294479232).

113527720876800 is an abundant number, since it is smaller than the sum of its proper divisors (267268868081664).

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

113527720876800 is a wasteful number, since it uses less digits than its factorization.

113527720876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 113527720876800 in words is "one hundred thirteen trillion, five hundred twenty-seven billion, seven hundred twenty million, eight hundred seventy-six thousand, eight hundred".