91581878304 has 576 divisors, whose sum is σ = 324439105536. Its totient is φ = 23911759872.

The previous prime is 91581878303. The next prime is 91581878317. The reversal of 91581878304 is 40387818519.

91581878304 is a `hidden beast` number, since 9 + 158 + 187 + 8 + 304 = 666.

It is not an unprimeable number, because it can be changed into a prime (91581878303) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 230684634 + ... + 230685030.

It is an arithmetic number, because the mean of its divisors is an integer number (563262336).

Almost surely, 2^91581878304 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 91581878304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162219552768).

91581878304 is an abundant number, since it is smaller than the sum of its proper divisors (232857227232).

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

91581878304 is a wasteful number, since it uses less digits than its factorization.

91581878304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 91581878304 in words is "ninety-one billion, five hundred eighty-one million, eight hundred seventy-eight thousand, three hundred four".