10208590656 has 224 divisors, whose sum is σ = 31166263296. Its totient is φ = 2919936000.

The previous prime is 10208590633. The next prime is 10208590669. The reversal of 10208590656 is 65609580201.

It is a super-3 number, since 3×10208590656³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682451 + ... + 2686253.

It is an arithmetic number, because the mean of its divisors is an integer number (139135104).

Almost surely, 2^10208590656 is an apocalyptic number.

10208590656 is a gapful number since it is divisible by the number (16) 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 10208590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15583131648).

10208590656 is an abundant number, since it is smaller than the sum of its proper divisors (20957672640).

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

10208590656 is a wasteful number, since it uses less digits than its factorization.

10208590656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 10208590656 in words is "ten billion, two hundred eight million, five hundred ninety thousand, six hundred fifty-six".