21620614014216 has 256 divisors, whose sum is σ = 69089888102400. Its totient is φ = 6136564831488.

The previous prime is 21620614014151. The next prime is 21620614014269. The reversal of 21620614014216 is 61241041602612.

21620614014216 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 0 + 614 + 0 + 14 + 21 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1472485611 + ... + 1472500293.

It is an arithmetic number, because the mean of its divisors is an integer number (269882375400).

Almost surely, 2^{21620614014216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21620614014216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34544944051200).

21620614014216 is an abundant number, since it is smaller than the sum of its proper divisors (47469274088184).

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

21620614014216 is a wasteful number, since it uses less digits than its factorization.

21620614014216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21065 (or 21055 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 21620614014216 its reverse (61241041602612), we get a palindrome (82861655616828).

The spelling of 21620614014216 in words is "twenty-one trillion, six hundred twenty billion, six hundred fourteen million, fourteen thousand, two hundred sixteen".