13006791360 has 336 divisors, whose sum is σ = 46194610176. Its totient is φ = 3357075456.

The previous prime is 13006791313. The next prime is 13006791361. The reversal of 13006791360 is 6319760031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13006791361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15727267 + ... + 15728093.

Almost surely, 2^13006791360 is an apocalyptic number.

13006791360 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 13006791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097305088).

13006791360 is an abundant number, since it is smaller than the sum of its proper divisors (33187818816).

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

13006791360 is a wasteful number, since it uses less digits than its factorization.

13006791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 13006791360 in words is "thirteen billion, six million, seven hundred ninety-one thousand, three hundred sixty".