91538758080 has 1008 divisors, whose sum is σ = 403967472480. Its totient is φ = 18811699200.

The previous prime is 91538758079. The next prime is 91538758133. The reversal of 91538758080 is 8085783519.

91538758080 is a `hidden beast` number, since 9 + 1 + 53 + 8 + 7 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 169202610 + ... + 169203150.

Almost surely, 2^91538758080 is an apocalyptic number.

91538758080 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 91538758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201983736240).

91538758080 is an abundant number, since it is smaller than the sum of its proper divisors (312428714400).

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

91538758080 is a wasteful number, since it uses less digits than its factorization.

91538758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 91538758080 in words is "ninety-one billion, five hundred thirty-eight million, seven hundred fifty-eight thousand, eighty".