20882534400 has 1248 divisors, whose sum is σ = 95555550720. Its totient is φ = 4352901120.

The previous prime is 20882534381. The next prime is 20882534423. The reversal of 20882534400 is 443528802.

20882534400 is a `hidden beast` number, since 2 + 0 + 8 + 82 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251596759 + ... + 251596841.

Almost surely, 2^20882534400 is an apocalyptic number.

20882534400 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 20882534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47777775360).

20882534400 is an abundant number, since it is smaller than the sum of its proper divisors (74673016320).

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

20882534400 is a wasteful number, since it uses less digits than its factorization.

20882534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 20882534400 in words is "twenty billion, eight hundred eighty-two million, five hundred thirty-four thousand, four hundred".