13029870672 has 180 divisors, whose sum is σ = 45682427700. Its totient is φ = 3436425216.

The previous prime is 13029870671. The next prime is 13029870709. The reversal of 13029870672 is 27607892031.

It can be written as a sum of positive squares in 2 ways, for example, as 529736256 + 12500134416 = 23016^2 + 111804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029870671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20704 + ... + 162752.

It is an arithmetic number, because the mean of its divisors is an integer number (253791265).

Almost surely, 2^13029870672 is an apocalyptic number.

13029870672 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 13029870672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22841213850).

13029870672 is an abundant number, since it is smaller than the sum of its proper divisors (32652557028).

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

13029870672 is a wasteful number, since it uses less digits than its factorization.

13029870672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142090 (or 142074 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13029870672 in words is "thirteen billion, twenty-nine million, eight hundred seventy thousand, six hundred seventy-two".