20952535680 has 160 divisors (see below), whose sum is σ = 74825473140. Its totient is φ = 5587329024.

The previous prime is 20952535663. The next prime is 20952535691. The reversal of 20952535680 is 8653525902.

20952535680 is a `hidden beast` number, since 2 + 0 + 9 + 52 + 535 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19935180864 + 1017354816 = 141192^2 + 31896^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150249 + ... + 253928.

Almost surely, 2^20952535680 is an apocalyptic number.

20952535680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20952535680 is an abundant number, since it is smaller than the sum of its proper divisors (53872937460).

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

20952535680 is an equidigital number, since it uses as much as digits as its factorization.

20952535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404208 (or 404187 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 20952535680 in words is "twenty billion, nine hundred fifty-two million, five hundred thirty-five thousand, six hundred eighty".