10090997568 has 252 divisors, whose sum is σ = 30328526592. Its totient is φ = 3207029760.

The previous prime is 10090997551. The next prime is 10090997611. The reversal of 10090997568 is 86579909001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52832353 + ... + 52832543.

It is an arithmetic number, because the mean of its divisors is an integer number (120351296).

Almost surely, 2^10090997568 is an apocalyptic number.

10090997568 is a gapful number since it is divisible by the number (18) 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 10090997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164263296).

10090997568 is an abundant number, since it is smaller than the sum of its proper divisors (20237529024).

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

10090997568 is a wasteful number, since it uses less digits than its factorization.

10090997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 10090997568 in words is "ten billion, ninety million, nine hundred ninety-seven thousand, five hundred sixty-eight".