21461956332960 has 768 divisors, whose sum is σ = 80994241198080. Its totient is φ = 4707901685760.

The previous prime is 21461956332937. The next prime is 21461956332977. The reversal of 21461956332960 is 6923365916412.

It is a self number, because there is not a number n which added to its sum of digits gives 21461956332960.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6064410871 + ... + 6064414409.

It is an arithmetic number, because the mean of its divisors is an integer number (105461251560).

Almost surely, 2^{21461956332960} is an apocalyptic number.

21461956332960 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 21461956332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497120599040).

21461956332960 is an abundant number, since it is smaller than the sum of its proper divisors (59532284865120).

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

21461956332960 is a wasteful number, since it uses less digits than its factorization.

21461956332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 21461956332960 in words is "twenty-one trillion, four hundred sixty-one billion, nine hundred fifty-six million, three hundred thirty-two thousand, nine hundred sixty".