91501724160 has 480 divisors, whose sum is σ = 395099033472. Its totient is φ = 19012976640.

The previous prime is 91501724081. The next prime is 91501724191. The reversal of 91501724160 is 6142710519.

91501724160 is a `hidden beast` number, since 91 + 501 + 7 + 2 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×91501724160³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1748292 + ... + 1799868.

Almost surely, 2^91501724160 is an apocalyptic number.

91501724160 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 91501724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197549516736).

91501724160 is an abundant number, since it is smaller than the sum of its proper divisors (303597309312).

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

91501724160 is a wasteful number, since it uses less digits than its factorization.

91501724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51624 (or 51605 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 91501724160 in words is "ninety-one billion, five hundred one million, seven hundred twenty-four thousand, one hundred sixty".