21928679717760 has 448 divisors, whose sum is σ = 80082008117280. Its totient is φ = 5737308475392.

The previous prime is 21928679717719. The next prime is 21928679717773. The reversal of 21928679717760 is 6771797682912.

21928679717760 is a `hidden beast` number, since 219 + 286 + 7 + 9 + 7 + 1 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24284277 + ... + 25171083.

Almost surely, 2^{21928679717760} is an apocalyptic number.

21928679717760 is a gapful number since it is divisible by the number (20) 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 21928679717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40041004058640).

21928679717760 is an abundant number, since it is smaller than the sum of its proper divisors (58153328399520).

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

21928679717760 is an frugal number, since it uses more digits than its factorization.

21928679717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886897 (or 886870 counting only the distinct ones).

The product of its (nonzero) digits is 224042112, while the sum is 72.

The spelling of 21928679717760 in words is "twenty-one trillion, nine hundred twenty-eight billion, six hundred seventy-nine million, seven hundred seventeen thousand, seven hundred sixty".