91956510864 has 240 divisors, whose sum is σ = 271325134080. Its totient is φ = 29017359360.

The previous prime is 91956510817. The next prime is 91956510869. The reversal of 91956510864 is 46801565919.

91956510864 is a `hidden beast` number, since 9 + 1 + 9 + 565 + 10 + 8 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 91956510864.

It is not an unprimeable number, because it can be changed into a prime (91956510869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199471594 + ... + 199472054.

It is an arithmetic number, because the mean of its divisors is an integer number (1130521392).

Almost surely, 2^91956510864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91956510864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135662567040).

91956510864 is an abundant number, since it is smaller than the sum of its proper divisors (179368623216).

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

91956510864 is a wasteful number, since it uses less digits than its factorization.

91956510864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 91956510864 in words is "ninety-one billion, nine hundred fifty-six million, five hundred ten thousand, eight hundred sixty-four".