21560414400 has 504 divisors, whose sum is σ = 88440768000. Its totient is φ = 4879595520.

The previous prime is 21560414389. The next prime is 21560414431. The reversal of 21560414400 is 441406512.

21560414400 is a `hidden beast` number, since 2 + 1 + 5 + 604 + 14 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10784601 + ... + 10786599.

Almost surely, 2^21560414400 is an apocalyptic number.

21560414400 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 21560414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44220384000).

21560414400 is an abundant number, since it is smaller than the sum of its proper divisors (66880353600).

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

21560414400 is a wasteful number, since it uses less digits than its factorization.

21560414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 21560414400 in words is "twenty-one billion, five hundred sixty million, four hundred fourteen thousand, four hundred".