91365226560 has 560 divisors, whose sum is σ = 335744362800. Its totient is φ = 23569367040.

The previous prime is 91365226541. The next prime is 91365226607. The reversal of 91365226560 is 6562256319.

91365226560 is a `hidden beast` number, since 9 + 1 + 3 + 6 + 522 + 65 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4349666304 + 87015560256 = 65952^2 + 294984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158344992 + ... + 158345568.

It is an arithmetic number, because the mean of its divisors is an integer number (599543505).

Almost surely, 2^91365226560 is an apocalyptic number.

91365226560 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 91365226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167872181400).

91365226560 is an abundant number, since it is smaller than the sum of its proper divisors (244379136240).

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

91365226560 is a wasteful number, since it uses less digits than its factorization.

91365226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 91365226560 in words is "ninety-one billion, three hundred sixty-five million, two hundred twenty-six thousand, five hundred sixty".