13287434160 has 1280 divisors, whose sum is σ = 60476129280. Its totient is φ = 2322432000.

The previous prime is 13287434123. The next prime is 13287434161. The reversal of 13287434160 is 6143478231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13287434161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 187146925 + ... + 187146995.

It is an arithmetic number, because the mean of its divisors is an integer number (47246976).

Almost surely, 2^13287434160 is an apocalyptic number.

13287434160 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 13287434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30238064640).

13287434160 is an abundant number, since it is smaller than the sum of its proper divisors (47188695120).

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

13287434160 is a wasteful number, since it uses less digits than its factorization.

13287434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 13287434160 in words is "thirteen billion, two hundred eighty-seven million, four hundred thirty-four thousand, one hundred sixty".