91716159824640 has 2592 divisors, whose sum is σ = 378499807445760. Its totient is φ = 21194514432000.

The previous prime is 91716159824629. The next prime is 91716159824753. The reversal of 91716159824640 is 4642895161719.

91716159824640 is a `hidden beast` number, since 9 + 1 + 7 + 1 + 615 + 9 + 8 + 2 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×91716159824640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 130836176290 + ... + 130836176990.

It is an arithmetic number, because the mean of its divisors is an integer number (146026160280).

Almost surely, 2^{91716159824640} is an apocalyptic number.

91716159824640 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 91716159824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189249903722880).

91716159824640 is an abundant number, since it is smaller than the sum of its proper divisors (286783647621120).

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

91716159824640 is a wasteful number, since it uses less digits than its factorization.

91716159824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 91716159824640 in words is "ninety-one trillion, seven hundred sixteen billion, one hundred fifty-nine million, eight hundred twenty-four thousand, six hundred forty".