91427746800 has 120 divisors (see below), whose sum is σ = 315402337264. Its totient is φ = 22505287680.

The previous prime is 91427746799. The next prime is 91427746859. The reversal of 91427746800 is 864772419.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 91427746800.

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 23 ways as a sum of consecutive naturals, for example, 2914777 + ... + 2945976.

Almost surely, 2^91427746800 is an apocalyptic number.

It is an amenable number.

91427746800 is an abundant number, since it is smaller than the sum of its proper divisors (223974590464).

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

91427746800 is a wasteful number, since it uses less digits than its factorization.

91427746800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860787 (or 5860776 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 91427746800 in words is "ninety-one billion, four hundred twenty-seven million, seven hundred forty-six thousand, eight hundred".