91584322560 has 264 divisors, whose sum is σ = 317961427056. Its totient is φ = 24374476800.

The previous prime is 91584322549. The next prime is 91584322579. The reversal of 91584322560 is 6522348519.

91584322560 is a `hidden beast` number, since 9 + 1 + 5 + 84 + 3 + 2 + 2 + 560 = 666.

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 23 ways as a sum of consecutive naturals, for example, 27692427 + ... + 27695733.

Almost surely, 2^91584322560 is an apocalyptic number.

91584322560 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 91584322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158980713528).

91584322560 is an abundant number, since it is smaller than the sum of its proper divisors (226377104496).

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

91584322560 is a wasteful number, since it uses less digits than its factorization.

91584322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 91584322560 in words is "ninety-one billion, five hundred eighty-four million, three hundred twenty-two thousand, five hundred sixty".