10090168704 has 576 divisors, whose sum is σ = 37924024320. Its totient is φ = 2613980160.

The previous prime is 10090168691. The next prime is 10090168733. The reversal of 10090168704 is 40786109001.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26344897 + ... + 26345279.

It is an arithmetic number, because the mean of its divisors is an integer number (65840320).

Almost surely, 2^10090168704 is an apocalyptic number.

10090168704 is a gapful number since it is divisible by the number (14) 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 10090168704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962012160).

10090168704 is an abundant number, since it is smaller than the sum of its proper divisors (27833855616).

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

10090168704 is an equidigital number, since it uses as much as digits as its factorization.

10090168704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10090168704 in words is "ten billion, ninety million, one hundred sixty-eight thousand, seven hundred four".