10607125727568 has 80 divisors (see below), whose sum is σ = 27852157919232. Its totient is φ = 3477821424000.

The previous prime is 10607125727563. The next prime is 10607125727609. The reversal of 10607125727568 is 86572752170601.

It is a super-2 number, since 2×10607125727568² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10607125727563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2141848 + ... + 5079543.

Almost surely, 2^{10607125727568} is an apocalyptic number.

It is an amenable number.

10607125727568 is an abundant number, since it is smaller than the sum of its proper divisors (17245032191664).

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

10607125727568 is a wasteful number, since it uses less digits than its factorization.

10607125727568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7221904 (or 7221898 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 57.

The spelling of 10607125727568 in words is "ten trillion, six hundred seven billion, one hundred twenty-five million, seven hundred twenty-seven thousand, five hundred sixty-eight".