91559116800 has 720 divisors, whose sum is σ = 356903406720. Its totient is φ = 22932357120.

The previous prime is 91559116771. The next prime is 91559116801. The reversal of 91559116800 is 861195519.

91559116800 is a `hidden beast` number, since 9 + 1 + 559 + 1 + 16 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91559116801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188006157 + ... + 188006643.

It is an arithmetic number, because the mean of its divisors is an integer number (495699176).

Almost surely, 2^91559116800 is an apocalyptic number.

91559116800 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 91559116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178451703360).

91559116800 is an abundant number, since it is smaller than the sum of its proper divisors (265344289920).

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

91559116800 is a wasteful number, since it uses less digits than its factorization.

91559116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 91559116800 in words is "ninety-one billion, five hundred fifty-nine million, one hundred sixteen thousand, eight hundred".