21600564480 has 864 divisors, whose sum is σ = 88986014208. Its totient is φ = 4777574400.

The previous prime is 21600564467. The next prime is 21600564541. The reversal of 21600564480 is 8446500612.

21600564480 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 0 + 5 + 644 + 8 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79706745 + ... + 79707015.

It is an arithmetic number, because the mean of its divisors is an integer number (102993072).

Almost surely, 2^21600564480 is an apocalyptic number.

21600564480 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 21600564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44493007104).

21600564480 is an abundant number, since it is smaller than the sum of its proper divisors (67385449728).

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

21600564480 is a wasteful number, since it uses less digits than its factorization.

21600564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21600564480 in words is "twenty-one billion, six hundred million, five hundred sixty-four thousand, four hundred eighty".