91362560688 has 280 divisors, whose sum is σ = 303889850400. Its totient is φ = 26054203392.

The previous prime is 91362560629. The next prime is 91362560711. The reversal of 91362560688 is 88606526319.

It is a happy number.

91362560688 is a `hidden beast` number, since 9 + 1 + 3 + 6 + 25 + 606 + 8 + 8 = 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 Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82382278 + ... + 82383386.

Almost surely, 2^91362560688 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 91362560688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151944925200).

91362560688 is an abundant number, since it is smaller than the sum of its proper divisors (212527289712).

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

91362560688 is a wasteful number, since it uses less digits than its factorization.

91362560688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 91362560688 in words is "ninety-one billion, three hundred sixty-two million, five hundred sixty thousand, six hundred eighty-eight".