91259260800 has 384 divisors, whose sum is σ = 308566679040. Its totient is φ = 23695196160.

The previous prime is 91259260783. The next prime is 91259260831. The reversal of 91259260800 is 806295219.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115958007 + ... + 115958793.

It is an arithmetic number, because the mean of its divisors is an integer number (803559060).

Almost surely, 2^91259260800 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 91259260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154283339520).

91259260800 is an abundant number, since it is smaller than the sum of its proper divisors (217307418240).

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

91259260800 is a wasteful number, since it uses less digits than its factorization.

91259260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 91259260800 in words is "ninety-one billion, two hundred fifty-nine million, two hundred sixty thousand, eight hundred".