91887244800 has 960 divisors, whose sum is σ = 349843608576. Its totient is φ = 21086208000.

The previous prime is 91887244783. The next prime is 91887244831. The reversal of 91887244800 is 844278819.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 608524725 + ... + 608524875.

Almost surely, 2^91887244800 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 91887244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174921804288).

91887244800 is an abundant number, since it is smaller than the sum of its proper divisors (257956363776).

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

91887244800 is a wasteful number, since it uses less digits than its factorization.

91887244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 91887244800 in words is "ninety-one billion, eight hundred eighty-seven million, two hundred forty-four thousand, eight hundred".