10256766765201 has 96 divisors (see below), whose sum is σ = 17205473712000. Its totient is φ = 6029920195200.

The previous prime is 10256766765163. The next prime is 10256766765233.

It is a happy number.

10256766765201 is a `hidden beast` number, since 1 + 0 + 2 + 56 + 7 + 6 + 67 + 6 + 520 + 1 = 666.

10256766765201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10256766765201 - 2¹⁴ = 10256766748817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10256766765101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 39882775 + ... + 40139123.

It is an arithmetic number, because the mean of its divisors is an integer number (179223684500).

Almost surely, 2^{10256766765201} is an apocalyptic number.

10256766765201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10256766765201 is a deficient number, since it is larger than the sum of its proper divisors (6948706946799).

10256766765201 is a wasteful number, since it uses less digits than its factorization.

10256766765201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256748 (or 256731 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 10256766765201 in words is "ten trillion, two hundred fifty-six billion, seven hundred sixty-six million, seven hundred sixty-five thousand, two hundred one".