10204611266304 has 432 divisors, whose sum is σ = 36316813757952. Its totient is φ = 2683550932992.

The previous prime is 10204611266299. The next prime is 10204611266359. The reversal of 10204611266304 is 40366211640201.

10204611266304 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 6 + 1 + 12 + 6 + 630 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72683277 + ... + 72823539.

Almost surely, 2^{10204611266304} is an apocalyptic number.

10204611266304 is a gapful number since it is divisible by the number (14) 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 10204611266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158406878976).

10204611266304 is an abundant number, since it is smaller than the sum of its proper divisors (26112202491648).

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

10204611266304 is a wasteful number, since it uses less digits than its factorization.

10204611266304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140652 (or 140635 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10204611266304 in words is "ten trillion, two hundred four billion, six hundred eleven million, two hundred sixty-six thousand, three hundred four".