21457912320 has 480 divisors, whose sum is σ = 82648710144. Its totient is φ = 5109350400.

The previous prime is 21457912313. The next prime is 21457912321. The reversal of 21457912320 is 2321975412.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×21457912320² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21457912321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9283965 + ... + 9286275.

Almost surely, 2^21457912320 is an apocalyptic number.

21457912320 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 21457912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41324355072).

21457912320 is an abundant number, since it is smaller than the sum of its proper divisors (61190797824).

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

21457912320 is a wasteful number, since it uses less digits than its factorization.

21457912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21457912320 in words is "twenty-one billion, four hundred fifty-seven million, nine hundred twelve thousand, three hundred twenty".