91916328960 has 448 divisors, whose sum is σ = 346087598400. Its totient is φ = 23064477696.

The previous prime is 91916328947. The next prime is 91916329031. The reversal of 91916328960 is 6982361919.

It is a super-2 number, since 2×91916328960² (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 = 91916328897 and 91916328906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18798196 + ... + 18803084.

Almost surely, 2^91916328960 is an apocalyptic number.

91916328960 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 91916328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173043799200).

91916328960 is an abundant number, since it is smaller than the sum of its proper divisors (254171269440).

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

91916328960 is a wasteful number, since it uses less digits than its factorization.

91916328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 91916328960 in words is "ninety-one billion, nine hundred sixteen million, three hundred twenty-eight thousand, nine hundred sixty".