10204113565512 has 128 divisors (see below), whose sum is σ = 29582619897600. Its totient is φ = 3252882783744.

The previous prime is 10204113565501. The next prime is 10204113565559. The reversal of 10204113565512 is 21556531140201.

10204113565512 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 1 + 135 + 6 + 5 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27022228 + ... + 27397244.

It is an arithmetic number, because the mean of its divisors is an integer number (231114217950).

Almost surely, 2^{10204113565512} is an apocalyptic number.

10204113565512 is a gapful number since it is divisible by the number (12) 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 10204113565512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791309948800).

10204113565512 is an abundant number, since it is smaller than the sum of its proper divisors (19378506332088).

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

10204113565512 is a wasteful number, since it uses less digits than its factorization.

10204113565512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380532 (or 380522 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10204113565512 in words is "ten trillion, two hundred four billion, one hundred thirteen million, five hundred sixty-five thousand, five hundred twelve".