21906957072000 has 3072 divisors, whose sum is σ = 99218728627200. Its totient is φ = 4160471040000.

The previous prime is 21906957071977. The next prime is 21906957072029. The reversal of 21906957072000 is 27075960912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 95663567886 + ... + 95663568114.

It is an arithmetic number, because the mean of its divisors is an integer number (32297763225).

Almost surely, 2^{21906957072000} is an apocalyptic number.

21906957072000 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 21906957072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49609364313600).

21906957072000 is an abundant number, since it is smaller than the sum of its proper divisors (77311771555200).

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

21906957072000 is a wasteful number, since it uses less digits than its factorization.

21906957072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 21906957072000 in words is "twenty-one trillion, nine hundred six billion, nine hundred fifty-seven million, seventy-two thousand".