10681607552 has 256 divisors, whose sum is σ = 28867207680. Its totient is φ = 3808788480.

The previous prime is 10681607477. The next prime is 10681607579. The reversal of 10681607552 is 25570618601.

It is a super-2 number, since 2×10681607552² (a number of 21 digits) contains 22 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, 6198563 + ... + 6200285.

It is an arithmetic number, because the mean of its divisors is an integer number (112762530).

Almost surely, 2^10681607552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433603840).

10681607552 is an abundant number, since it is smaller than the sum of its proper divisors (18185600128).

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

10681607552 is a wasteful number, since it uses less digits than its factorization.

10681607552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 10681607552 in words is "ten billion, six hundred eighty-one million, six hundred seven thousand, five hundred fifty-two".