968132057518080 has 6240 divisors, whose sum is σ = 4550757992225280. Its totient is φ = 192387187998720.

The previous prime is 968132057518051. The next prime is 968132057518163. The reversal of 968132057518080 is 80815750231869.

968132057518080 is a `hidden beast` number, since 9 + 6 + 8 + 1 + 32 + 0 + 5 + 7 + 518 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a super-2 number, since 2×968132057518080² (a number of 31 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 968132057517999 and 968132057518017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4017145466760 + ... + 4017145467000.

Almost surely, 2^{968132057518080} is an apocalyptic number.

968132057518080 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 968132057518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275378996112640).

968132057518080 is an abundant number, since it is smaller than the sum of its proper divisors (3582625934707200).

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

968132057518080 is a wasteful number, since it uses less digits than its factorization.

968132057518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 968132057518080 in words is "nine hundred sixty-eight trillion, one hundred thirty-two billion, fifty-seven million, five hundred eighteen thousand, eighty".