21459520512 has 616 divisors, whose sum is σ = 72490820400. Its totient is φ = 6306398208.

The previous prime is 21459520501. The next prime is 21459520567. The reversal of 21459520512 is 21502595412.

21459520512 is a `hidden beast` number, since 2 + 14 + 595 + 2 + 0 + 51 + 2 = 666.

It is a super-2 number, since 2×21459520512² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 241118164 + ... + 241118252.

Almost surely, 2^21459520512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21459520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36245410200).

21459520512 is an abundant number, since it is smaller than the sum of its proper divisors (51031299888).

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

21459520512 is an equidigital number, since it uses as much as digits as its factorization.

21459520512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 21459520512 in words is "twenty-one billion, four hundred fifty-nine million, five hundred twenty thousand, five hundred twelve".