21612493596960 has 576 divisors, whose sum is σ = 85354006203648. Its totient is φ = 4877634281472.

The previous prime is 21612493596931. The next prime is 21612493596961. The reversal of 21612493596960 is 6969539421612.

21612493596960 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 2 + 493 + 59 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21612493596961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1650684174 + ... + 1650697266.

It is an arithmetic number, because the mean of its divisors is an integer number (148184038548).

Almost surely, 2^{21612493596960} is an apocalyptic number.

21612493596960 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 21612493596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42677003101824).

21612493596960 is an abundant number, since it is smaller than the sum of its proper divisors (63741512606688).

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

21612493596960 is a wasteful number, since it uses less digits than its factorization.

21612493596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15177 (or 15166 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 21612493596960 in words is "twenty-one trillion, six hundred twelve billion, four hundred ninety-three million, five hundred ninety-six thousand, nine hundred sixty".