20264162800 has 240 divisors, whose sum is σ = 58161134592. Its totient is φ = 6639897600.

The previous prime is 20264162761. The next prime is 20264162803. The reversal of 20264162800 is 826146202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20264162803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5657010 + ... + 5660590.

Almost surely, 2^20264162800 is an apocalyptic number.

20264162800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20264162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29080567296).

20264162800 is an abundant number, since it is smaller than the sum of its proper divisors (37896971792).

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

20264162800 is a wasteful number, since it uses less digits than its factorization.

20264162800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 20264162800 in words is "twenty billion, two hundred sixty-four million, one hundred sixty-two thousand, eight hundred".