21572832967504 has 360 divisors, whose sum is σ = 53987563559160. Its totient is φ = 8317790208000.

The previous prime is 21572832967481. The next prime is 21572832967541. The reversal of 21572832967504 is 40576923827512.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17043257209104 + 4529575758400 = 4128348^2 + 2128280^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10326869692 + ... + 10326871780.

It is an arithmetic number, because the mean of its divisors is an integer number (149965454331).

It is a 1-persistent number, because it is pandigital, but 2⋅21572832967504 = 43145665935008 is not.

Almost surely, 2^{21572832967504} 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 21572832967504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26993781779580).

21572832967504 is an abundant number, since it is smaller than the sum of its proper divisors (32414730591656).

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

21572832967504 is a wasteful number, since it uses less digits than its factorization.

21572832967504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 61.

The spelling of 21572832967504 in words is "twenty-one trillion, five hundred seventy-two billion, eight hundred thirty-two million, nine hundred sixty-seven thousand, five hundred four".