10456600735 has 12 divisors (see below), whose sum is σ = 14596561368. Its totient is φ = 7170240336.

The previous prime is 10456600717. The next prime is 10456600741. The reversal of 10456600735 is 53700665401.

10456600735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10456600735 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10456600694 and 10456600703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21339757 + ... + 21340246.

It is an arithmetic number, because the mean of its divisors is an integer number (1216380114).

Almost surely, 2^10456600735 is an apocalyptic number.

10456600735 is a deficient number, since it is larger than the sum of its proper divisors (4139960633).

10456600735 is an equidigital number, since it uses as much as digits as its factorization.

10456600735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42680022 (or 42680015 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 10456600735 in words is "ten billion, four hundred fifty-six million, six hundred thousand, seven hundred thirty-five".