21707064960 has 256 divisors, whose sum is σ = 79781103360. Its totient is φ = 4917362688.

The previous prime is 21707064943. The next prime is 21707064971. The reversal of 21707064960 is 6946070712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1511574 + ... + 1525866.

It is an arithmetic number, because the mean of its divisors is an integer number (311644935).

Almost surely, 2^21707064960 is an apocalyptic number.

21707064960 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 21707064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39890551680).

21707064960 is an abundant number, since it is smaller than the sum of its proper divisors (58074038400).

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

21707064960 is a wasteful number, since it uses less digits than its factorization.

21707064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435 (or 14423 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 21707064960 in words is "twenty-one billion, seven hundred seven million, sixty-four thousand, nine hundred sixty".