21648085320 has 128 divisors (see below), whose sum is σ = 67578416640. Its totient is φ = 5543316480.

The previous prime is 21648085313. The next prime is 21648085337. The reversal of 21648085320 is 2358084612.

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 31 ways as a sum of consecutive naturals, for example, 262710 + ... + 335130.

It is an arithmetic number, because the mean of its divisors is an integer number (527956380).

Almost surely, 2^21648085320 is an apocalyptic number.

21648085320 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 21648085320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33789208320).

21648085320 is an abundant number, since it is smaller than the sum of its proper divisors (45930331320).

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

21648085320 is a wasteful number, since it uses less digits than its factorization.

21648085320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72535 (or 72531 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 21648085320 in words is "twenty-one billion, six hundred forty-eight million, eighty-five thousand, three hundred twenty".