10607568057312 has 384 divisors, whose sum is σ = 31127607705600. Its totient is φ = 3148608153600.

The previous prime is 10607568057253. The next prime is 10607568057341. The reversal of 10607568057312 is 21375086570601.

It is a super-2 number, since 2×10607568057312² (a number of 27 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 63 ways as a sum of consecutive naturals, for example, 1295023137 + ... + 1295031327.

It is an arithmetic number, because the mean of its divisors is an integer number (81061478400).

Almost surely, 2^{10607568057312} is an apocalyptic number.

10607568057312 is a gapful number since it is divisible by the number (12) 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 10607568057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563803852800).

10607568057312 is an abundant number, since it is smaller than the sum of its proper divisors (20520039648288).

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

10607568057312 is a wasteful number, since it uses less digits than its factorization.

10607568057312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 8902 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 10607568057312 in words is "ten trillion, six hundred seven billion, five hundred sixty-eight million, fifty-seven thousand, three hundred twelve".