21761627904 has 108 divisors (see below), whose sum is σ = 63500649576. Its totient is φ = 7166416896.

The previous prime is 21761627887. The next prime is 21761627929. The reversal of 21761627904 is 40972616712.

21761627904 is a `hidden beast` number, since 2 + 1 + 7 + 616 + 27 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21761627904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134334 + ... + 248130.

Almost surely, 2^21761627904 is an apocalyptic number.

21761627904 is a gapful number since it is divisible by the number (24) 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 21761627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31750324788).

21761627904 is an abundant number, since it is smaller than the sum of its proper divisors (41739021672).

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

21761627904 is a wasteful number, since it uses less digits than its factorization.

21761627904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113902 (or 113885 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 21761627904 in words is "twenty-one billion, seven hundred sixty-one million, six hundred twenty-seven thousand, nine hundred four".