91088056800 has 432 divisors, whose sum is σ = 350671649328. Its totient is φ = 22112870400.

The previous prime is 91088056789. The next prime is 91088056817. The reversal of 91088056800 is 865088019.

91088056800 is a `hidden beast` number, since 9 + 1 + 0 + 8 + 80 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6826135 + ... + 6839465.

It is an arithmetic number, because the mean of its divisors is an integer number (811739929).

Almost surely, 2^91088056800 is an apocalyptic number.

91088056800 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 91088056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175335824664).

91088056800 is an abundant number, since it is smaller than the sum of its proper divisors (259583592528).

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

91088056800 is a wasteful number, since it uses less digits than its factorization.

91088056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13443 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 91088056800 in words is "ninety-one billion, eighty-eight million, fifty-six thousand, eight hundred".