968839391520 has 3456 divisors, whose sum is σ = 4831130304000. Its totient is φ = 175250718720.

The previous prime is 968839391479. The next prime is 968839391557. The reversal of 968839391520 is 25193938869.

968839391520 is a `hidden beast` number, since 96 + 8 + 8 + 393 + 9 + 152 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22531148619 + ... + 22531148661.

It is an arithmetic number, because the mean of its divisors is an integer number (1397896500).

Almost surely, 2^968839391520 is an apocalyptic number.

968839391520 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 968839391520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415565152000).

968839391520 is an abundant number, since it is smaller than the sum of its proper divisors (3862290912480).

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

968839391520 is a wasteful number, since it uses less digits than its factorization.

968839391520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 968839391520 in words is "nine hundred sixty-eight billion, eight hundred thirty-nine million, three hundred ninety-one thousand, five hundred twenty".