15300413102256 has 160 divisors (see below), whose sum is σ = 42602625257472. Its totient is φ = 4717968752640.

The previous prime is 15300413102209. The next prime is 15300413102297. The reversal of 15300413102256 is 65220131400351.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53005936 + ... + 53293808.

Almost surely, 2^{15300413102256} is an apocalyptic number.

15300413102256 is a gapful number since it is divisible by the number (16) 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 15300413102256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301312628736).

15300413102256 is an abundant number, since it is smaller than the sum of its proper divisors (27302212155216).

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

15300413102256 is a wasteful number, since it uses less digits than its factorization.

15300413102256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289491 (or 289485 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 15300413102256 in words is "fifteen trillion, three hundred billion, four hundred thirteen million, one hundred two thousand, two hundred fifty-six".