10685215453840 has 40 divisors (see below), whose sum is σ = 26304486282360. Its totient is φ = 4022669346816.

The previous prime is 10685215453831. The next prime is 10685215453937. The reversal of 10685215453840 is 4835451258601.

10685215453840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1205393193216 + 9479822260624 = 1097904^2 + 3078932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10685215453840² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3928386675 + ... + 3928389394.

It is an arithmetic number, because the mean of its divisors is an integer number (657612157059).

Almost surely, 2^{10685215453840} is an apocalyptic number.

10685215453840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10685215453840 is an abundant number, since it is smaller than the sum of its proper divisors (15619270828520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10685215453840 is a wasteful number, since it uses less digits than its factorization.

10685215453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856776099 (or 7856776093 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 10685215453840 in words is "ten trillion, six hundred eighty-five billion, two hundred fifteen million, four hundred fifty-three thousand, eight hundred forty".