10634835278825 has 24 divisors (see below), whose sum is σ = 13199152688256. Its totient is φ = 8500156920000.

The previous prime is 10634835278813. The next prime is 10634835278843. The reversal of 10634835278825 is 52887253843601.

It is not a de Polignac number, because 10634835278825 - 2³⁰ = 10633761537001 is a prime.

It is a super-4 number, since 4×10634835278825⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162204800 + ... + 162270350.

It is an arithmetic number, because the mean of its divisors is an integer number (549964695344).

Almost surely, 2^{10634835278825} is an apocalyptic number.

It is an amenable number.

10634835278825 is a deficient number, since it is larger than the sum of its proper divisors (2564317409431).

10634835278825 is a wasteful number, since it uses less digits than its factorization.

10634835278825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71345 (or 71340 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 62.

The spelling of 10634835278825 in words is "ten trillion, six hundred thirty-four billion, eight hundred thirty-five million, two hundred seventy-eight thousand, eight hundred twenty-five".