91321048800 has 864 divisors, whose sum is σ = 352403382240. Its totient is φ = 22167552000.

The previous prime is 91321048799. The next prime is 91321048831. The reversal of 91321048800 is 884012319.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 904168750 + ... + 904168850.

It is an arithmetic number, because the mean of its divisors is an integer number (407874285).

Almost surely, 2^91321048800 is an apocalyptic number.

91321048800 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 91321048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176201691120).

91321048800 is an abundant number, since it is smaller than the sum of its proper divisors (261082333440).

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

91321048800 is a wasteful number, since it uses less digits than its factorization.

91321048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 91321048800 in words is "ninety-one billion, three hundred twenty-one million, forty-eight thousand, eight hundred".