20254572800 has 432 divisors, whose sum is σ = 65257823232. Its totient is φ = 6035251200.

The previous prime is 20254572799. The next prime is 20254572817. The reversal of 20254572800 is 827545202.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11333507 + ... + 11335293.

It is an arithmetic number, because the mean of its divisors is an integer number (151059776).

Almost surely, 2^20254572800 is an apocalyptic number.

20254572800 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 20254572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32628911616).

20254572800 is an abundant number, since it is smaller than the sum of its proper divisors (45003250432).

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

20254572800 is a wasteful number, since it uses less digits than its factorization.

20254572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The spelling of 20254572800 in words is "twenty billion, two hundred fifty-four million, five hundred seventy-two thousand, eight hundred".