10204056565020 has 576 divisors, whose sum is σ = 32340727560960. Its totient is φ = 2602948608000.

The previous prime is 10204056565009. The next prime is 10204056565033. The reversal of 10204056565020 is 2056565040201.

10204056565020 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 40 + 56 + 565 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×10204056565020² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 17933315296 + ... + 17933315864.

It is an arithmetic number, because the mean of its divisors is an integer number (56147096460).

Almost surely, 2^{10204056565020} is an apocalyptic number.

10204056565020 is a gapful number since it is divisible by the number (10) 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 10204056565020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170363780480).

10204056565020 is an abundant number, since it is smaller than the sum of its proper divisors (22136670995940).

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

10204056565020 is a wasteful number, since it uses less digits than its factorization.

10204056565020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10204056565020 in words is "ten trillion, two hundred four billion, fifty-six million, five hundred sixty-five thousand, twenty".