21227064960 has 512 divisors, whose sum is σ = 74429383680. Its totient is φ = 5124915200.

The previous prime is 21227064959. The next prime is 21227064997. The reversal of 21227064960 is 6946072212.

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, 154942012 + ... + 154942148.

It is an arithmetic number, because the mean of its divisors is an integer number (145369890).

Almost surely, 2^21227064960 is an apocalyptic number.

21227064960 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 21227064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37214691840).

21227064960 is an abundant number, since it is smaller than the sum of its proper divisors (53202318720).

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

21227064960 is a wasteful number, since it uses less digits than its factorization.

21227064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 21227064960 in words is "twenty-one billion, two hundred twenty-seven million, sixty-four thousand, nine hundred sixty".