13084042752 has 800 divisors, whose sum is σ = 47057345280. Its totient is φ = 3576545280.

The previous prime is 13084042739. The next prime is 13084042753. The reversal of 13084042752 is 25724048031.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084042753) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 304280043 + ... + 304280085.

Almost surely, 2^13084042752 is an apocalyptic number.

13084042752 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 13084042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528672640).

13084042752 is an abundant number, since it is smaller than the sum of its proper divisors (33973302528).

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

13084042752 is a wasteful number, since it uses less digits than its factorization.

13084042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 13084042752 in words is "thirteen billion, eighty-four million, forty-two thousand, seven hundred fifty-two".