91907405568 has 432 divisors, whose sum is σ = 315611587200. Its totient is φ = 26381168640.

The previous prime is 91907405561. The next prime is 91907405581. The reversal of 91907405568 is 86550470919.

91907405568 is a `hidden beast` number, since 9 + 1 + 9 + 0 + 74 + 0 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91907405561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12997938 + ... + 13005006.

Almost surely, 2^91907405568 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 91907405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157805793600).

91907405568 is an abundant number, since it is smaller than the sum of its proper divisors (223704181632).

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

91907405568 is a wasteful number, since it uses less digits than its factorization.

91907405568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 91907405568 in words is "ninety-one billion, nine hundred seven million, four hundred five thousand, five hundred sixty-eight".