91975934160 has 800 divisors, whose sum is σ = 370690024320. Its totient is φ = 20901888000.

The previous prime is 91975934137. The next prime is 91975934209. The reversal of 91975934160 is 6143957919.

91975934160 is a `hidden beast` number, since 9 + 1 + 9 + 7 + 593 + 41 + 6 + 0 = 666.

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 = 91975934097 and 91975934106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 153037860 + ... + 153038460.

Almost surely, 2^91975934160 is an apocalyptic number.

91975934160 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 91975934160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185345012160).

91975934160 is an abundant number, since it is smaller than the sum of its proper divisors (278714090160).

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

91975934160 is a wasteful number, since it uses less digits than its factorization.

91975934160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 91975934160 in words is "ninety-one billion, nine hundred seventy-five million, nine hundred thirty-four thousand, one hundred sixty".