20457580900 has 27 divisors (see below), whose sum is σ = 44396054521. Its totient is φ = 8182460240.

The previous prime is 20457580883. The next prime is 20457580901. The reversal of 20457580900 is 908575402.

The square root of 20457580900 is 143030.

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., 7364729124 + 13092851776 = 85818^2 + 114424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20457580901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1423149 + ... + 1437451.

Almost surely, 2^20457580900 is an apocalyptic number.

20457580900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20457580900 is the 143030-th square number.

It is an amenable number.

20457580900 is an abundant number, since it is smaller than the sum of its proper divisors (23938473621).

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

20457580900 is an frugal number, since it uses more digits than its factorization.

20457580900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28620 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 20457580900 in words is "twenty billion, four hundred fifty-seven million, five hundred eighty thousand, nine hundred".