13034935760 has 160 divisors (see below), whose sum is σ = 38349545472. Its totient is φ = 4002071040.

The previous prime is 13034935741. The next prime is 13034935787. The reversal of 13034935760 is 6753943031.

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, 396929 + ... + 428511.

Almost surely, 2^13034935760 is an apocalyptic number.

13034935760 is a gapful number since it is divisible by the number (10) 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 13034935760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19174772736).

13034935760 is an abundant number, since it is smaller than the sum of its proper divisors (25314609712).

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

13034935760 is a wasteful number, since it uses less digits than its factorization.

13034935760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31681 (or 31675 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 41.

The spelling of 13034935760 in words is "thirteen billion, thirty-four million, nine hundred thirty-five thousand, seven hundred sixty".