921272085504 has 352 divisors, whose sum is σ = 2753919168000. Its totient is φ = 304231956480.

The previous prime is 921272085493. The next prime is 921272085511. The reversal of 921272085504 is 405580272129.

921272085504 is a `hidden beast` number, since 9 + 21 + 2 + 72 + 0 + 8 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 921272085504.

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, 2639747922 + ... + 2639748270.

It is an arithmetic number, because the mean of its divisors is an integer number (7823634000).

Almost surely, 2^921272085504 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 921272085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376959584000).

921272085504 is an abundant number, since it is smaller than the sum of its proper divisors (1832647082496).

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

921272085504 is a wasteful number, since it uses less digits than its factorization.

921272085504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 921272085504 in words is "nine hundred twenty-one billion, two hundred seventy-two million, eighty-five thousand, five hundred four".