10838347131160 has 64 divisors (see below), whose sum is σ = 24475596491520. Its totient is φ = 4319463751680.

The previous prime is 10838347131137. The next prime is 10838347131181. The reversal of 10838347131160 is 6113174383801.

It is a self number, because there is not a number n which added to its sum of digits gives 10838347131160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121875832 + ... + 121964728.

It is an arithmetic number, because the mean of its divisors is an integer number (382431195180).

Almost surely, 2^{10838347131160} is an apocalyptic number.

10838347131160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10838347131160 is an abundant number, since it is smaller than the sum of its proper divisors (13637249360360).

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

10838347131160 is a wasteful number, since it uses less digits than its factorization.

10838347131160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100036 (or 100032 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 10838347131160 in words is "ten trillion, eight hundred thirty-eight billion, three hundred forty-seven million, one hundred thirty-one thousand, one hundred sixty".