21536486184960 has 768 divisors, whose sum is σ = 77172600960000. Its totient is φ = 5696984973312.

The previous prime is 21536486184883. The next prime is 21536486184989. The reversal of 21536486184960 is 6948168463512.

21536486184960 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 6 + 4 + 8 + 618 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25669232221 + ... + 25669233059.

It is an arithmetic number, because the mean of its divisors is an integer number (100485157500).

Almost surely, 2^{21536486184960} is an apocalyptic number.

21536486184960 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 21536486184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38586300480000).

21536486184960 is an abundant number, since it is smaller than the sum of its proper divisors (55636114775040).

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

21536486184960 is a wasteful number, since it uses less digits than its factorization.

21536486184960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 21536486184960 in words is "twenty-one trillion, five hundred thirty-six billion, four hundred eighty-six million, one hundred eighty-four thousand, nine hundred sixty".