20508531264 has 567 divisors, whose sum is σ = 70215407067. Its totient is φ = 5939122176.

The previous prime is 20508531223. The next prime is 20508531311. The reversal of 20508531264 is 46213580502.

The square root of 20508531264 is 143208.

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

20508531264 is a `hidden beast` number, since 20 + 508 + 5 + 3 + 126 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 185177664 + 20323353600 = 13608^2 + 142560^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1206384184 + ... + 1206384200.

Almost surely, 2^20508531264 is an apocalyptic number.

20508531264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20508531264 is the 143208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20508531264

20508531264 is an abundant number, since it is smaller than the sum of its proper divisors (49706875803).

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

20508531264 is an frugal number, since it uses more digits than its factorization.

20508531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 20508531264 by its sum of digits (36), we get a square (738307125504 = 859248²).

20508531264 divided by its sum of digits (36) gives a square (569681424 = 23868²).

The spelling of 20508531264 in words is "twenty billion, five hundred eight million, five hundred thirty-one thousand, two hundred sixty-four".