21456705600 has 1008 divisors, whose sum is σ = 89767379520. Its totient is φ = 4993228800.

The previous prime is 21456705563. The next prime is 21456705607. The reversal of 21456705600 is 650765412.

It is a happy number.

21456705600 is a `hidden beast` number, since 2 + 1 + 45 + 6 + 7 + 0 + 5 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21456705607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124027114 + ... + 124027286.

It is an arithmetic number, because the mean of its divisors is an integer number (89054940).

Almost surely, 2^21456705600 is an apocalyptic number.

21456705600 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 21456705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44883689760).

21456705600 is an abundant number, since it is smaller than the sum of its proper divisors (68310673920).

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

21456705600 is a wasteful number, since it uses less digits than its factorization.

21456705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 21456705600 in words is "twenty-one billion, four hundred fifty-six million, seven hundred five thousand, six hundred".