20810370564 has 27 divisors (see below), whose sum is σ = 52606180263. Its totient is φ = 6936501672.

The previous prime is 20810370551. The next prime is 20810370571. The reversal of 20810370564 is 46507301802.

The square root of 20810370564 is 144258.

It is a perfect power (a square), and thus also a powerful number.

20810370564 is a `hidden beast` number, since 20 + 8 + 1 + 0 + 3 + 70 + 564 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 853527 + ... + 877569.

Almost surely, 2^20810370564 is an apocalyptic number.

20810370564 is the 144258-th square number.

It is an amenable number.

20810370564 is an abundant number, since it is smaller than the sum of its proper divisors (31795809699).

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

20810370564 is an frugal number, since it uses more digits than its factorization.

20810370564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48096 (or 24048 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 20810370564 by its sum of digits (36), we get a square (749173340304 = 865548²).

20810370564 divided by its sum of digits (36) gives a square (578065849 = 24043²).

The spelling of 20810370564 in words is "twenty billion, eight hundred ten million, three hundred seventy thousand, five hundred sixty-four".