91758883968 has 192 divisors, whose sum is σ = 275073926400. Its totient is φ = 30446834688.

The previous prime is 91758883921. The next prime is 91758883981. The reversal of 91758883968 is 86938885719.

91758883968 is a `hidden beast` number, since 9 + 1 + 7 + 588 + 8 + 39 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 91758883896 and 91758883905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6929578 + ... + 6942806.

It is an arithmetic number, because the mean of its divisors is an integer number (1432676700).

Almost surely, 2^91758883968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91758883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137536963200).

91758883968 is an abundant number, since it is smaller than the sum of its proper divisors (183315042432).

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

91758883968 is a wasteful number, since it uses less digits than its factorization.

91758883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13481 (or 13457 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 72.

The spelling of 91758883968 in words is "ninety-one billion, seven hundred fifty-eight million, eight hundred eighty-three thousand, nine hundred sixty-eight".