20583370872100 has 81 divisors (see below), whose sum is σ = 44799120310161. Its totient is φ = 8208867290400.

The previous prime is 20583370871993. The next prime is 20583370872139. The reversal of 20583370872100 is 127807338502.

The square root of 20583370872100 is 4536890.

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

It can be written as a sum of positive squares in only one way, i.e., 7410013513956 + 13173357358144 = 2722134^2 + 3629512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28627775541 + ... + 28627776259.

Almost surely, 2^{20583370872100} is an apocalyptic number.

20583370872100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20583370872100 is the 4536890-th square number.

It is an amenable number.

20583370872100 is an abundant number, since it is smaller than the sum of its proper divisors (24215749438061).

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

20583370872100 is an frugal number, since it uses more digits than its factorization.

20583370872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 20583370872100 in words is "twenty trillion, five hundred eighty-three billion, three hundred seventy million, eight hundred seventy-two thousand, one hundred".