10090957968 has 320 divisors, whose sum is σ = 36100467200. Its totient is φ = 2660511744.

The previous prime is 10090957939. The next prime is 10090958023. The reversal of 10090957968 is 86975909001.

10090957968 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 9 + 579 + 68 = 666.

10090957968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3182688 + ... + 3185856.

It is an arithmetic number, because the mean of its divisors is an integer number (112813960).

Almost surely, 2^10090957968 is an apocalyptic number.

10090957968 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 10090957968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050233600).

10090957968 is an abundant number, since it is smaller than the sum of its proper divisors (26009509232).

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

10090957968 is an equidigital number, since it uses as much as digits as its factorization.

10090957968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3194 counting only the distinct ones).

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

The spelling of 10090957968 in words is "ten billion, ninety million, nine hundred fifty-seven thousand, nine hundred sixty-eight".