10079340086673 has 128 divisors (see below), whose sum is σ = 17598518784000. Its totient is φ = 5620941319680.

The previous prime is 10079340086653. The next prime is 10079340086737. The reversal of 10079340086673 is 37668004397001.

10079340086673 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 93 + 400 + 86 + 6 + 73 = 666.

It is not a de Polignac number, because 10079340086673 - 2²⁴ = 10079323309457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10079340086653) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2744169165 + ... + 2744172837.

It is an arithmetic number, because the mean of its divisors is an integer number (137488428000).

Almost surely, 2^{10079340086673} is an apocalyptic number.

10079340086673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10079340086673 is a deficient number, since it is larger than the sum of its proper divisors (7519178697327).

10079340086673 is a wasteful number, since it uses less digits than its factorization.

10079340086673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10079340086673 in words is "ten trillion, seventy-nine billion, three hundred forty million, eighty-six thousand, six hundred seventy-three".