10204240564600 has 24 divisors (see below), whose sum is σ = 23724859313160. Its totient is φ = 4081696225760.

The previous prime is 10204240564519. The next prime is 10204240564667. The reversal of 10204240564600 is 646504240201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25510601212 + ... + 25510601611.

It is an arithmetic number, because the mean of its divisors is an integer number (988535804715).

Almost surely, 2^{10204240564600} is an apocalyptic number.

10204240564600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204240564600 is an abundant number, since it is smaller than the sum of its proper divisors (13520618748560).

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

10204240564600 is a wasteful number, since it uses less digits than its factorization.

10204240564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51021202839 (or 51021202830 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 10204240564600 in words is "ten trillion, two hundred four billion, two hundred forty million, five hundred sixty-four thousand, six hundred".