91882046880 has 288 divisors, whose sum is σ = 340105409280. Its totient is φ = 22453770240.

The previous prime is 91882046833. The next prime is 91882046897. The reversal of 91882046880 is 8864028819.

91882046880 is a `hidden beast` number, since 9 + 1 + 88 + 20 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 2584425 + ... + 2619735.

It is an arithmetic number, because the mean of its divisors is an integer number (1180921560).

Almost surely, 2^91882046880 is an apocalyptic number.

91882046880 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 91882046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170052704640).

91882046880 is an abundant number, since it is smaller than the sum of its proper divisors (248223362400).

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

91882046880 is a wasteful number, since it uses less digits than its factorization.

91882046880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35484 (or 35473 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 91882046880 in words is "ninety-one billion, eight hundred eighty-two million, forty-six thousand, eight hundred eighty".