91026110695104 has 1344 divisors, whose sum is σ = 318234201183360. Its totient is φ = 25712905420800.

The previous prime is 91026110695081. The next prime is 91026110695111. The reversal of 91026110695104 is 40159601162019.

91026110695104 is a `hidden beast` number, since 9 + 1 + 0 + 2 + 61 + 10 + 69 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 91026110695104.

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 191 ways as a sum of consecutive naturals, for example, 16487247864 + ... + 16487253384.

It is an arithmetic number, because the mean of its divisors is an integer number (236781399690).

Almost surely, 2^{91026110695104} 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 91026110695104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159117100591680).

91026110695104 is an abundant number, since it is smaller than the sum of its proper divisors (227208090488256).

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

91026110695104 is a wasteful number, since it uses less digits than its factorization.

91026110695104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 91026110695104 in words is "ninety-one trillion, twenty-six billion, one hundred ten million, six hundred ninety-five thousand, one hundred four".