20564315976960 has 1008 divisors, whose sum is σ = 88846443020160. Its totient is φ = 4452997939200.

The previous prime is 20564315976949. The next prime is 20564315976977. The reversal of 20564315976960 is 6967951346502.

20564315976960 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 4 + 31 + 597 + 6 + 9 + 6 + 0 = 666.

20564315976960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 124022110 + ... + 124187810.

It is an arithmetic number, because the mean of its divisors is an integer number (88141312520).

Almost surely, 2^{20564315976960} is an apocalyptic number.

20564315976960 is a gapful number since it is divisible by the number (20) 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 20564315976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44423221510080).

20564315976960 is an abundant number, since it is smaller than the sum of its proper divisors (68282127043200).

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

20564315976960 is an equidigital number, since it uses as much as digits as its factorization.

20564315976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165766 (or 165737 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 20564315976960 in words is "twenty trillion, five hundred sixty-four billion, three hundred fifteen million, nine hundred seventy-six thousand, nine hundred sixty".