10700456104799 has 16 divisors (see below), whose sum is σ = 10795443237216. Its totient is φ = 10605675724800.

The previous prime is 10700456104777. The next prime is 10700456104841. The reversal of 10700456104799 is 99740165400701.

It is a cyclic number.

It is not a de Polignac number, because 10700456104799 - 2³² = 10696161137503 is a prime.

It is a super-2 number, since 2×10700456104799² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10700456104799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10700456104729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879893279 + ... + 879905439.

It is an arithmetic number, because the mean of its divisors is an integer number (674715202326).

Almost surely, 2^{10700456104799} is an apocalyptic number.

10700456104799 is a deficient number, since it is larger than the sum of its proper divisors (94987132417).

10700456104799 is a wasteful number, since it uses less digits than its factorization.

10700456104799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20026.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 10700456104799 in words is "ten trillion, seven hundred billion, four hundred fifty-six million, one hundred four thousand, seven hundred ninety-nine".