21929272632960 has 1024 divisors, whose sum is σ = 91890149068800. Its totient is φ = 4309566750720.

The previous prime is 21929272632959. The next prime is 21929272632973. The reversal of 21929272632960 is 6923627292912.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 21929272632894 and 21929272632903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1733121994 + ... + 1733134646.

It is an arithmetic number, because the mean of its divisors is an integer number (89736473700).

Almost surely, 2^{21929272632960} is an apocalyptic number.

21929272632960 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 21929272632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45945074534400).

21929272632960 is an abundant number, since it is smaller than the sum of its proper divisors (69960876435840).

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

21929272632960 is a wasteful number, since it uses less digits than its factorization.

21929272632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13329 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 21929272632960 in words is "twenty-one trillion, nine hundred twenty-nine billion, two hundred seventy-two million, six hundred thirty-two thousand, nine hundred sixty".