20815418400 has 144 divisors (see below), whose sum is σ = 77433418944. Its totient is φ = 4757806080.

The previous prime is 20815418389. The next prime is 20815418417. The reversal of 20815418400 is 481451802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602707 + ... + 636306.

It is an arithmetic number, because the mean of its divisors is an integer number (537732076).

Almost surely, 2^20815418400 is an apocalyptic number.

20815418400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20815418400 is an abundant number, since it is smaller than the sum of its proper divisors (56618000544).

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

20815418400 is a wasteful number, since it uses less digits than its factorization.

20815418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239043 (or 1239030 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 20815418400 in words is "twenty billion, eight hundred fifteen million, four hundred eighteen thousand, four hundred".