13080068736 has 256 divisors, whose sum is σ = 42285576960. Its totient is φ = 3497066496.

The previous prime is 13080068723. The next prime is 13080068797. The reversal of 13080068736 is 63786008031.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9001386 + ... + 9002838.

It is an arithmetic number, because the mean of its divisors is an integer number (165178035).

Almost surely, 2^13080068736 is an apocalyptic number.

13080068736 is a gapful number since it is divisible by the number (16) 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 13080068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21142788480).

13080068736 is an abundant number, since it is smaller than the sum of its proper divisors (29205508224).

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

13080068736 is a wasteful number, since it uses less digits than its factorization.

13080068736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 13080068736 in words is "thirteen billion, eighty million, sixty-eight thousand, seven hundred thirty-six".