20972832400 has 135 divisors (see below), whose sum is σ = 54659451441. Its totient is φ = 7729912320.

The previous prime is 20972832337. The next prime is 20972832403. The reversal of 20972832400 is 423827902.

The square root of 20972832400 is 144820.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19866338704 + 1106493696 = 140948^2 + 33264^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20972832400.

It is not an unprimeable number, because it can be changed into a prime (20972832403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37652922 + ... + 37653478.

Almost surely, 2^20972832400 is an apocalyptic number.

20972832400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20972832400 is the 144820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20972832400

20972832400 is an abundant number, since it is smaller than the sum of its proper divisors (33686619041).

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

20972832400 is an equidigital number, since it uses as much as digits as its factorization.

20972832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 20972832400 in words is "twenty billion, nine hundred seventy-two million, eight hundred thirty-two thousand, four hundred".