10695400459601 has 32 divisors (see below), whose sum is σ = 13111999891200. Its totient is φ = 8584635628800.

The previous prime is 10695400459591. The next prime is 10695400459609.

10695400459601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10695400459601 - 2³⁰ = 10694326717777 is a prime.

It is a super-2 number, since 2×10695400459601² (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 10695400459601.

It is not an unprimeable number, because it can be changed into a prime (10695400459609) 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 31 ways as a sum of consecutive naturals, for example, 182645075 + ... + 182703623.

It is an arithmetic number, because the mean of its divisors is an integer number (409749996600).

Almost surely, 2^{10695400459601} is an apocalyptic number.

10695400459601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10695400459601 is a deficient number, since it is larger than the sum of its proper divisors (2416599431599).

10695400459601 is a wasteful number, since it uses less digits than its factorization.

10695400459601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114137.

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 10695400459601 in words is "ten trillion, six hundred ninety-five billion, four hundred million, four hundred fifty-nine thousand, six hundred one".