20675564100 has 81 divisors (see below), whose sum is σ = 64819930903. Its totient is φ = 5512333440.

The previous prime is 20675564089. The next prime is 20675564113. The reversal of 20675564100 is 146557602.

It is a happy number.

The square root of 20675564100 is 143790.

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

20675564100 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 5 + 5 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1425666564 + 19249897536 = 37758^2 + 138744^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4311304 + ... + 4316096.

Almost surely, 2^20675564100 is an apocalyptic number.

20675564100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20675564100 is the 143790-th square number.

It is an amenable number.

20675564100 is an abundant number, since it is smaller than the sum of its proper divisors (44144366803).

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

20675564100 is an equidigital number, since it uses as much as digits as its factorization.

20675564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9606 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 20675564100 by its sum of digits (36), we get a square (744320307600 = 862740²).

20675564100 divided by its sum of digits (36) gives a square (574321225 = 23965²).

The spelling of 20675564100 in words is "twenty billion, six hundred seventy-five million, five hundred sixty-four thousand, one hundred".