91800848866320 has 240 divisors, whose sum is σ = 336639575563200. Its totient is φ = 22233930900480.

The previous prime is 91800848866261. The next prime is 91800848866339. The reversal of 91800848866320 is 2366884800819.

91800848866320 is a `hidden beast` number, since 91 + 8 + 0 + 0 + 8 + 488 + 6 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3045051 + ... + 13887909.

It is an arithmetic number, because the mean of its divisors is an integer number (1402664898180).

Almost surely, 2^{91800848866320} is an apocalyptic number.

91800848866320 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 91800848866320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168319787781600).

91800848866320 is an abundant number, since it is smaller than the sum of its proper divisors (244838726696880).

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

91800848866320 is a wasteful number, since it uses less digits than its factorization.

91800848866320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10843958 (or 10843949 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 91800848866320 in words is "ninety-one trillion, eight hundred billion, eight hundred forty-eight million, eight hundred sixty-six thousand, three hundred twenty".