21552088320 has 432 divisors, whose sum is σ = 86514180480. Its totient is φ = 4851449856.

The previous prime is 21552088309. The next prime is 21552088343. The reversal of 21552088320 is 2388025512.

21552088320 is a `hidden beast` number, since 2 + 1 + 552 + 0 + 8 + 83 + 20 = 666.

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

It is a congruent number.

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, 5400886 + ... + 5404874.

Almost surely, 2^21552088320 is an apocalyptic number.

21552088320 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 21552088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43257090240).

21552088320 is an abundant number, since it is smaller than the sum of its proper divisors (64962092160).

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

21552088320 is a wasteful number, since it uses less digits than its factorization.

21552088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 21552088320 in words is "twenty-one billion, five hundred fifty-two million, eighty-eight thousand, three hundred twenty".