13071504672 has 54 divisors (see below), whose sum is σ = 37177609833. Its totient is φ = 4356521472.

The previous prime is 13071504653. The next prime is 13071504679. The reversal of 13071504672 is 27640517031.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13071504672 is a `hidden beast` number, since 13 + 0 + 71 + 504 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13069976976 + 1527696 = 114324^2 + 1236^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=80844.

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 (13071504679) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1936888 + ... + 1943624.

Almost surely, 2^13071504672 is an apocalyptic number.

13071504672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13071504672 is an abundant number, since it is smaller than the sum of its proper divisors (24106105161).

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

13071504672 is an frugal number, since it uses more digits than its factorization.

13071504672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13490 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13071504672 in words is "thirteen billion, seventy-one million, five hundred four thousand, six hundred seventy-two".