10090656000 has 720 divisors, whose sum is σ = 39932933040. Its totient is φ = 2521497600.

The previous prime is 10090655999. The next prime is 10090656031. The reversal of 10090656000 is 65609001.

10090656000 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 656 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 389193984 + 9701462016 = 19728^2 + 98496^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44063886 + ... + 44064114.

It is an arithmetic number, because the mean of its divisors is an integer number (55462407).

Almost surely, 2^10090656000 is an apocalyptic number.

10090656000 is a gapful number since it is divisible by the number (10) 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 10090656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966466520).

10090656000 is an abundant number, since it is smaller than the sum of its proper divisors (29842277040).

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

10090656000 is an equidigital number, since it uses as much as digits as its factorization.

10090656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10090656000 in words is "ten billion, ninety million, six hundred fifty-six thousand".