20570879904768 has 528 divisors, whose sum is σ = 66107012137920. Its totient is φ = 6127812083712.

The previous prime is 20570879904763. The next prime is 20570879904769. The reversal of 20570879904768 is 86740997807502.

20570879904768 is a `hidden beast` number, since 2 + 0 + 5 + 70 + 87 + 9 + 9 + 0 + 476 + 8 = 666.

It is a super-2 number, since 2×20570879904768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20570879904696 and 20570879904705.

It is not an unprimeable number, because it can be changed into a prime (20570879904761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493652638 + ... + 493694306.

Almost surely, 2^{20570879904768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20570879904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33053506068960).

20570879904768 is an abundant number, since it is smaller than the sum of its proper divisors (45536132233152).

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

20570879904768 is a wasteful number, since it uses less digits than its factorization.

20570879904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41872 (or 41851 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 20570879904768 in words is "twenty trillion, five hundred seventy billion, eight hundred seventy-nine million, nine hundred four thousand, seven hundred sixty-eight".