21839557084416 has 864 divisors, whose sum is σ = 73256886743040. Its totient is φ = 6456109473792.

The previous prime is 21839557084403. The next prime is 21839557084421. The reversal of 21839557084416 is 61448075593812.

It is a happy number.

21839557084416 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 9 + 5 + 570 + 8 + 44 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×21839557084416² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1277681566 + ... + 1277698658.

It is an arithmetic number, because the mean of its divisors is an integer number (84788063360).

It is a 1-persistent number, because it is pandigital, but 2⋅21839557084416 = 43679114168832 is not.

Almost surely, 2^{21839557084416} 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 21839557084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628443371520).

21839557084416 is an abundant number, since it is smaller than the sum of its proper divisors (51417329658624).

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

21839557084416 is a wasteful number, since it uses less digits than its factorization.

21839557084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17213 (or 17187 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 21839557084416 in words is "twenty-one trillion, eight hundred thirty-nine billion, five hundred fifty-seven million, eighty-four thousand, four hundred sixteen".