21213912960 has 640 divisors, whose sum is σ = 79709572800. Its totient is φ = 5369462784.

The previous prime is 21213912949. The next prime is 21213912991. The reversal of 21213912960 is 6921931212.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154846012 + ... + 154846148.

Almost surely, 2^21213912960 is an apocalyptic number.

21213912960 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 21213912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39854786400).

21213912960 is an abundant number, since it is smaller than the sum of its proper divisors (58495659840).

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

21213912960 is a wasteful number, since it uses less digits than its factorization.

21213912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 21213912960 in words is "twenty-one billion, two hundred thirteen million, nine hundred twelve thousand, nine hundred sixty".