10760109312 has 144 divisors (see below), whose sum is σ = 29372378112. Its totient is φ = 3495352320.

The previous prime is 10760109301. The next prime is 10760109361. The reversal of 10760109312 is 21390106701.

It is a super-2 number, since 2×10760109312² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10760109312.

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, 11080987 + ... + 11081957.

It is an arithmetic number, because the mean of its divisors is an integer number (203974848).

Almost surely, 2^10760109312 is an apocalyptic number.

10760109312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10760109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686189056).

10760109312 is an abundant number, since it is smaller than the sum of its proper divisors (18612268800).

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

10760109312 is an equidigital number, since it uses as much as digits as its factorization.

10760109312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The spelling of 10760109312 in words is "ten billion, seven hundred sixty million, one hundred nine thousand, three hundred twelve".