96931676160 has 760 divisors, whose sum is σ = 383677420896. Its totient is φ = 23215472640.

The previous prime is 96931676099. The next prime is 96931676167. The reversal of 96931676160 is 6167613969.

96931676160 is a `hidden beast` number, since 9 + 6 + 9 + 3 + 16 + 7 + 616 + 0 = 666.

It is a super-2 number, since 2×96931676160² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 96931676097 and 96931676106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96931676167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1167851479 + ... + 1167851561.

Almost surely, 2^96931676160 is an apocalyptic number.

96931676160 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 96931676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191838710448).

96931676160 is an abundant number, since it is smaller than the sum of its proper divisors (286745744736).

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

96931676160 is an frugal number, since it uses more digits than its factorization.

96931676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 96931676160 in words is "ninety-six billion, nine hundred thirty-one million, six hundred seventy-six thousand, one hundred sixty".