930052912320 has 2016 divisors, whose sum is σ = 4211777606400. Its totient is φ = 194011324416.

The previous prime is 930052912307. The next prime is 930052912343. The reversal of 930052912320 is 23219250039.

930052912320 is a `hidden beast` number, since 9 + 3 + 0 + 0 + 529 + 123 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2099442019 + ... + 2099442461.

It is an arithmetic number, because the mean of its divisors is an integer number (2089175400).

Almost surely, 2^930052912320 is an apocalyptic number.

930052912320 is a gapful number since it is divisible by the number (90) 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 930052912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105888803200).

930052912320 is an abundant number, since it is smaller than the sum of its proper divisors (3281724694080).

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

930052912320 is a wasteful number, since it uses less digits than its factorization.

930052912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 930052912320 in words is "nine hundred thirty billion, fifty-two million, nine hundred twelve thousand, three hundred twenty".