91159689600 has 768 divisors, whose sum is σ = 401396928000. Its totient is φ = 19737354240.

The previous prime is 91159689547. The next prime is 91159689629. The reversal of 91159689600 is 698695119.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11487234 + ... + 11495166.

It is an arithmetic number, because the mean of its divisors is an integer number (522652250).

Almost surely, 2^91159689600 is an apocalyptic number.

91159689600 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 91159689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200698464000).

91159689600 is an abundant number, since it is smaller than the sum of its proper divisors (310237238400).

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

91159689600 is a wasteful number, since it uses less digits than its factorization.

91159689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7992 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 91159689600 in words is "ninety-one billion, one hundred fifty-nine million, six hundred eighty-nine thousand, six hundred".