20870572800 has 864 divisors, whose sum is σ = 90514206720. Its totient is φ = 4102963200.

The previous prime is 20870572769. The next prime is 20870572817. The reversal of 20870572800 is 827507802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28089229 + ... + 28089971.

Almost surely, 2^20870572800 is an apocalyptic number.

20870572800 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 20870572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45257103360).

20870572800 is an abundant number, since it is smaller than the sum of its proper divisors (69643633920).

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

20870572800 is a wasteful number, since it uses less digits than its factorization.

20870572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 20870572800 in words is "twenty billion, eight hundred seventy million, five hundred seventy-two thousand, eight hundred".