91116668160 has 1296 divisors, whose sum is σ = 390840532992. Its totient is φ = 19508428800.

The previous prime is 91116668107. The next prime is 91116668173. The reversal of 91116668160 is 6186661119.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 717454017 + ... + 717454143.

Almost surely, 2^91116668160 is an apocalyptic number.

91116668160 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 91116668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195420266496).

91116668160 is an abundant number, since it is smaller than the sum of its proper divisors (299723864832).

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

91116668160 is a wasteful number, since it uses less digits than its factorization.

91116668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 91116668160 in words is "ninety-one billion, one hundred sixteen million, six hundred sixty-eight thousand, one hundred sixty".