20572164900 has 243 divisors, whose sum is σ = 75120016881. Its totient is φ = 4695324480.

The previous prime is 20572164889. The next prime is 20572164911. The reversal of 20572164900 is 946127502.

The square root of 20572164900 is 143430.

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

20572164900 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 2 + 1 + 649 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20572164889) and next prime (20572164911).

It can be written as a sum of positive squares in only one way, i.e., 7405979364 + 13166185536 = 86058^2 + 114744^2 .

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, 30119959 + ... + 30120641.

Almost surely, 2^20572164900 is an apocalyptic number.

20572164900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20572164900 is the 143430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20572164900

20572164900 is an abundant number, since it is smaller than the sum of its proper divisors (54547851981).

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

20572164900 is a wasteful number, since it uses less digits than its factorization.

20572164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 20572164900 by its sum of digits (36), we get a square (740597936400 = 860580²).

20572164900 divided by its sum of digits (36) gives a square (571449025 = 23905²).

The spelling of 20572164900 in words is "twenty billion, five hundred seventy-two million, one hundred sixty-four thousand, nine hundred".