10091417258910 has 128 divisors (see below), whose sum is σ = 26677838799360. Its totient is φ = 2427822567936.

The previous prime is 10091417258903. The next prime is 10091417258933. The reversal of 10091417258910 is 1985271419001.

It is a self number, because there is not a number n which added to its sum of digits gives 10091417258910.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2713197 + ... + 5248263.

It is an arithmetic number, because the mean of its divisors is an integer number (208420615620).

Almost surely, 2^{10091417258910} is an apocalyptic number.

10091417258910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10091417258910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338919399680).

10091417258910 is an abundant number, since it is smaller than the sum of its proper divisors (16586421540450).

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

10091417258910 is a wasteful number, since it uses less digits than its factorization.

10091417258910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535322.

The product of its (nonzero) digits is 181440, while the sum is 48.

The spelling of 10091417258910 in words is "ten trillion, ninety-one billion, four hundred seventeen million, two hundred fifty-eight thousand, nine hundred ten".