10265828855759 has 16 divisors (see below), whose sum is σ = 10819801485504. Its totient is φ = 9720853824000.

The previous prime is 10265828855741. The next prime is 10265828855767. The reversal of 10265828855759 is 95755882856201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10265828855759 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10265828855692 and 10265828855701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10265828855719) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15852977 + ... + 16487829.

It is an arithmetic number, because the mean of its divisors is an integer number (676237592844).

Almost surely, 2^{10265828855759} is an apocalyptic number.

10265828855759 is a deficient number, since it is larger than the sum of its proper divisors (553972629745).

10265828855759 is a wasteful number, since it uses less digits than its factorization.

10265828855759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641938.

The product of its (nonzero) digits is 483840000, while the sum is 71.

The spelling of 10265828855759 in words is "ten trillion, two hundred sixty-five billion, eight hundred twenty-eight million, eight hundred fifty-five thousand, seven hundred fifty-nine".