10279824816961 has 16 divisors (see below), whose sum is σ = 12385082147200. Its totient is φ = 8335123388928.

The previous prime is 10279824816953. The next prime is 10279824817013. The reversal of 10279824816961 is 16961842897201.

It is not a de Polignac number, because 10279824816961 - 2³ = 10279824816953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10279824816893 and 10279824816902.

It is not an unprimeable number, because it can be changed into a prime (10279824816761) 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, 57333906 + ... + 57512923.

It is an arithmetic number, because the mean of its divisors is an integer number (774067634200).

Almost surely, 2^{10279824816961} is an apocalyptic number.

It is an amenable number.

10279824816961 is a deficient number, since it is larger than the sum of its proper divisors (2105257330239).

10279824816961 is a wasteful number, since it uses less digits than its factorization.

10279824816961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114847528.

The product of its (nonzero) digits is 20901888, while the sum is 64.

The spelling of 10279824816961 in words is "ten trillion, two hundred seventy-nine billion, eight hundred twenty-four million, eight hundred sixteen thousand, nine hundred sixty-one".