113285867520000 has 3600 divisors, whose sum is σ = 491519690101440. Its totient is φ = 22988980224000.

The previous prime is 113285867519977. The next prime is 113285867520031. The reversal of 113285867520000 is 25768582311.

113285867520000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 486205439884 + ... + 486205440116.

Almost surely, 2^{113285867520000} is an apocalyptic number.

113285867520000 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 113285867520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245759845050720).

113285867520000 is an abundant number, since it is smaller than the sum of its proper divisors (378233822581440).

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

113285867520000 is an equidigital number, since it uses as much as digits as its factorization.

113285867520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 113285867520000 in words is "one hundred thirteen trillion, two hundred eighty-five billion, eight hundred sixty-seven million, five hundred twenty thousand".