91160787960 has 1024 divisors, whose sum is σ = 363095654400. Its totient is φ = 20118067200.

The previous prime is 91160787919. The next prime is 91160787979. The reversal of 91160787960 is 6978706119.

It is a super-2 number, since 2×91160787960² (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 = 91160787897 and 91160787906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 717801417 + ... + 717801543.

It is an arithmetic number, because the mean of its divisors is an integer number (354585600).

Almost surely, 2^91160787960 is an apocalyptic number.

91160787960 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 91160787960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181547827200).

91160787960 is an abundant number, since it is smaller than the sum of its proper divisors (271934866440).

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

91160787960 is a wasteful number, since it uses less digits than its factorization.

91160787960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 91160787960 in words is "ninety-one billion, one hundred sixty million, seven hundred eighty-seven thousand, nine hundred sixty".