10506360125660 has 24 divisors (see below), whose sum is σ = 25215264301920. Its totient is φ = 3602180614464.

The previous prime is 10506360125629. The next prime is 10506360125683. The reversal of 10506360125660 is 6652106360501.

It is a super-2 number, since 2×10506360125660² (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 7 ways as a sum of consecutive naturals, for example, 37522714595 + ... + 37522714874.

It is an arithmetic number, because the mean of its divisors is an integer number (1050636012580).

Almost surely, 2^{10506360125660} is an apocalyptic number.

10506360125660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506360125660 is an abundant number, since it is smaller than the sum of its proper divisors (14708904176260).

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

10506360125660 is a wasteful number, since it uses less digits than its factorization.

10506360125660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75045429485 (or 75045429483 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 10506360125660 in words is "ten trillion, five hundred six billion, three hundred sixty million, one hundred twenty-five thousand, six hundred sixty".