91828191910000 has 800 divisors, whose sum is σ = 276334282224000. Its totient is φ = 28776314880000.

The previous prime is 91828191909997. The next prime is 91828191910019. The reversal of 91828191910000 is 1919182819.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52744509130 + ... + 52744510870.

It is an arithmetic number, because the mean of its divisors is an integer number (345417852780).

Almost surely, 2^{91828191910000} 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 91828191910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138167141112000).

91828191910000 is an abundant number, since it is smaller than the sum of its proper divisors (184506090314000).

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

91828191910000 is a wasteful number, since it uses less digits than its factorization.

91828191910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 49.

The spelling of 91828191910000 in words is "ninety-one trillion, eight hundred twenty-eight billion, one hundred ninety-one million, nine hundred ten thousand".