91216967760 has 480 divisors, whose sum is σ = 341580994560. Its totient is φ = 21708352512.

The previous prime is 91216967707. The next prime is 91216967773. The reversal of 91216967760 is 6776961219.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 91216967697 and 91216967706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21078717 + ... + 21083043.

It is an arithmetic number, because the mean of its divisors is an integer number (711627072).

Almost surely, 2^91216967760 is an apocalyptic number.

91216967760 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 91216967760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170790497280).

91216967760 is an abundant number, since it is smaller than the sum of its proper divisors (250364026800).

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

91216967760 is a wasteful number, since it uses less digits than its factorization.

91216967760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 91216967760 in words is "ninety-one billion, two hundred sixteen million, nine hundred sixty-seven thousand, seven hundred sixty".