20658312900 has 135 divisors (see below), whose sum is σ = 67008047799. Its totient is φ = 5505433920.

The previous prime is 20658312877. The next prime is 20658312907. The reversal of 20658312900 is 921385602.

The square root of 20658312900 is 143730.

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

20658312900 is a `hidden beast` number, since 206 + 58 + 312 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4122410436 + 16535902464 = 64206^2 + 128592^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is not an unprimeable number, because it can be changed into a prime (20658312907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12934902 + ... + 12936498.

Almost surely, 2^20658312900 is an apocalyptic number.

20658312900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20658312900 is the 143730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20658312900

20658312900 is an abundant number, since it is smaller than the sum of its proper divisors (46349734899).

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

20658312900 is an equidigital number, since it uses as much as digits as its factorization.

20658312900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 20658312900 by its sum of digits (36), we get a square (743699264400 = 862380²).

20658312900 divided by its sum of digits (36) gives a square (573842025 = 23955²).

The spelling of 20658312900 in words is "twenty billion, six hundred fifty-eight million, three hundred twelve thousand, nine hundred".