10814251870680 has 128 divisors (see below), whose sum is σ = 33748967520000. Its totient is φ = 2768803864064.

The previous prime is 10814251870657. The next prime is 10814251870739. The reversal of 10814251870680 is 8607815241801.

10814251870680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8057370 + ... + 9303209.

It is an arithmetic number, because the mean of its divisors is an integer number (263663808750).

Almost surely, 2^{10814251870680} is an apocalyptic number.

10814251870680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10814251870680 is an abundant number, since it is smaller than the sum of its proper divisors (22934715649320).

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

10814251870680 is a wasteful number, since it uses less digits than its factorization.

10814251870680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17360801 (or 17360797 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 10814251870680 in words is "ten trillion, eight hundred fourteen billion, two hundred fifty-one million, eight hundred seventy thousand, six hundred eighty".