91868835560832 has 640 divisors, whose sum is σ = 308787953760000. Its totient is φ = 26857420369920.

The previous prime is 91868835560809. The next prime is 91868835560839. The reversal of 91868835560832 is 23806553886819.

91868835560832 is a `hidden beast` number, since 9 + 1 + 8 + 6 + 8 + 8 + 3 + 5 + 5 + 608 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91868835560839) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4362439519 + ... + 4362460577.

It is an arithmetic number, because the mean of its divisors is an integer number (482481177750).

Almost surely, 2^{91868835560832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91868835560832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154393976880000).

91868835560832 is an abundant number, since it is smaller than the sum of its proper divisors (216919118199168).

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

91868835560832 is a wasteful number, since it uses less digits than its factorization.

91868835560832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22444 (or 22423 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 91868835560832 in words is "ninety-one trillion, eight hundred sixty-eight billion, eight hundred thirty-five million, five hundred sixty thousand, eight hundred thirty-two".