21627889920 has 1296 divisors, whose sum is σ = 99288362880. Its totient is φ = 4364845056.

The previous prime is 21627889919. The next prime is 21627889931. The reversal of 21627889920 is 2998872612.

21627889920 is a `hidden beast` number, since 2 + 1 + 627 + 8 + 8 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 940343029 + ... + 940343051.

Almost surely, 2^21627889920 is an apocalyptic number.

21627889920 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 21627889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49644181440).

21627889920 is an abundant number, since it is smaller than the sum of its proper divisors (77660472960).

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

21627889920 is a wasteful number, since it uses less digits than its factorization.

21627889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21627889920 in words is "twenty-one billion, six hundred twenty-seven million, eight hundred eighty-nine thousand, nine hundred twenty".