91086300264960 has 5120 divisors, whose sum is σ = 451015133184000. Its totient is φ = 17167417344000.

The previous prime is 91086300264959. The next prime is 91086300264977. The reversal of 91086300264960 is 6946200368019.

91086300264960 is a `hidden beast` number, since 9 + 10 + 8 + 6 + 300 + 264 + 9 + 60 = 666.

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 = 91086300264897 and 91086300264906.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 227147880760 + ... + 227147881160.

It is an arithmetic number, because the mean of its divisors is an integer number (88088893200).

Almost surely, 2^{91086300264960} is an apocalyptic number.

91086300264960 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 91086300264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225507566592000).

91086300264960 is an abundant number, since it is smaller than the sum of its proper divisors (359928832919040).

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

91086300264960 is a wasteful number, since it uses less digits than its factorization.

91086300264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 91086300264960 in words is "ninety-one trillion, eighty-six billion, three hundred million, two hundred sixty-four thousand, nine hundred sixty".