91191260160 has 1408 divisors, whose sum is σ = 435785011200. Its totient is φ = 17464688640.

The previous prime is 91191260159. The next prime is 91191260179. The reversal of 91191260160 is 6106219119.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138377911 + ... + 138378569.

It is an arithmetic number, because the mean of its divisors is an integer number (309506400).

Almost surely, 2^91191260160 is an apocalyptic number.

91191260160 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 91191260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217892505600).

91191260160 is an abundant number, since it is smaller than the sum of its proper divisors (344593751040).

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

91191260160 is a wasteful number, since it uses less digits than its factorization.

91191260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

Adding to 91191260160 its reverse (6106219119), we get a palindrome (97297479279).

The spelling of 91191260160 in words is "ninety-one billion, one hundred ninety-one million, two hundred sixty thousand, one hundred sixty".