968133085920 has 1920 divisors, whose sum is σ = 4684156646400. Its totient is φ = 185573928960.

The previous prime is 968133085903. The next prime is 968133085963. The reversal of 968133085920 is 29580331869.

968133085920 is a `hidden beast` number, since 9 + 6 + 8 + 13 + 30 + 8 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 635674279 + ... + 635675801.

It is an arithmetic number, because the mean of its divisors is an integer number (2439664920).

Almost surely, 2^968133085920 is an apocalyptic number.

968133085920 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 968133085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342078323200).

968133085920 is an abundant number, since it is smaller than the sum of its proper divisors (3716023560480).

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

968133085920 is a wasteful number, since it uses less digits than its factorization.

968133085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 968133085920 in words is "nine hundred sixty-eight billion, one hundred thirty-three million, eighty-five thousand, nine hundred twenty".