21648936960 has 1248 divisors, whose sum is σ = 96813688320. Its totient is φ = 4558159872.

The previous prime is 21648936929. The next prime is 21648937033. The reversal of 21648936960 is 6963984612.

21648936960 is a `hidden beast` number, since 216 + 4 + 8 + 9 + 369 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21648936897 and 21648936906.

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, 460615657 + ... + 460615703.

Almost surely, 2^21648936960 is an apocalyptic number.

21648936960 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 21648936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48406844160).

21648936960 is an abundant number, since it is smaller than the sum of its proper divisors (75164751360).

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

21648936960 is a wasteful number, since it uses less digits than its factorization.

21648936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 21648936960 in words is "twenty-one billion, six hundred forty-eight million, nine hundred thirty-six thousand, nine hundred sixty".