10204879206564 has 60 divisors (see below), whose sum is σ = 30488651463424. Its totient is φ = 2915679772656.

The previous prime is 10204879206527. The next prime is 10204879206569. The reversal of 10204879206564 is 46560297840201.

10204879206564 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 8 + 79 + 2 + 0 + 6 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10204879206564.

It is not an unprimeable number, because it can be changed into a prime (10204879206569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2249750644 + ... + 2249755179.

Almost surely, 2^{10204879206564} is an apocalyptic number.

10204879206564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10204879206564 is an abundant number, since it is smaller than the sum of its proper divisors (20283772256860).

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

10204879206564 is a wasteful number, since it uses less digits than its factorization.

10204879206564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499505846 (or 4499505835 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10204879206564 in words is "ten trillion, two hundred four billion, eight hundred seventy-nine million, two hundred six thousand, five hundred sixty-four".