21671058304 has 256 divisors, whose sum is σ = 53807040000. Its totient is φ = 8664993792.

The previous prime is 21671058281. The next prime is 21671058319. The reversal of 21671058304 is 40385017612.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69236452 + ... + 69236764.

It is an arithmetic number, because the mean of its divisors is an integer number (210183750).

Almost surely, 2^21671058304 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 21671058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26903520000).

21671058304 is an abundant number, since it is smaller than the sum of its proper divisors (32135981696).

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

21671058304 is an equidigital number, since it uses as much as digits as its factorization.

21671058304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 21671058304 in words is "twenty-one billion, six hundred seventy-one million, fifty-eight thousand, three hundred four".