21706214400 has 396 divisors, whose sum is σ = 83708413152. Its totient is φ = 5342330880.

The previous prime is 21706214381. The next prime is 21706214423. The reversal of 21706214400 is 441260712.

21706214400 is a `hidden beast` number, since 217 + 0 + 6 + 2 + 1 + 440 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2991577 + ... + 2998823.

Almost surely, 2^21706214400 is an apocalyptic number.

21706214400 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 21706214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41854206576).

21706214400 is an abundant number, since it is smaller than the sum of its proper divisors (62002198752).

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

21706214400 is a wasteful number, since it uses less digits than its factorization.

21706214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7296 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 21706214400 in words is "twenty-one billion, seven hundred six million, two hundred fourteen thousand, four hundred".