91575214080 has 672 divisors, whose sum is σ = 347474779776. Its totient is φ = 20528234496.

The previous prime is 91575214079. The next prime is 91575214099. The reversal of 91575214080 is 8041257519.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 403414927 + ... + 403415153.

Almost surely, 2^91575214080 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 91575214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173737389888).

91575214080 is an abundant number, since it is smaller than the sum of its proper divisors (255899565696).

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

91575214080 is a wasteful number, since it uses less digits than its factorization.

91575214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 91575214080 in words is "ninety-one billion, five hundred seventy-five million, two hundred fourteen thousand, eighty".