13056672384 has 768 divisors, whose sum is σ = 49080245760. Its totient is φ = 3244032000.

The previous prime is 13056672383. The next prime is 13056672437. The reversal of 13056672384 is 48327665031.

13056672384 is a `hidden beast` number, since 1 + 3 + 0 + 566 + 7 + 2 + 3 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (13056672383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129273934 + ... + 129274034.

It is an arithmetic number, because the mean of its divisors is an integer number (63906570).

Almost surely, 2^13056672384 is an apocalyptic number.

13056672384 is a gapful number since it is divisible by the number (14) 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 13056672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540122880).

13056672384 is an abundant number, since it is smaller than the sum of its proper divisors (36023573376).

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

13056672384 is a wasteful number, since it uses less digits than its factorization.

13056672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13056672384 in words is "thirteen billion, fifty-six million, six hundred seventy-two thousand, three hundred eighty-four".