13047672960 has 288 divisors, whose sum is σ = 52412337900. Its totient is φ = 2982260736.

The previous prime is 13047672959. The next prime is 13047673003. The reversal of 13047672960 is 6927674031.

It can be written as a sum of positive squares in 2 ways, for example, as 11814820416 + 1232852544 = 108696^2 + 35112^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13047672960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259126 + ... + 305354.

Almost surely, 2^13047672960 is an apocalyptic number.

13047672960 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 13047672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26206168950).

13047672960 is an abundant number, since it is smaller than the sum of its proper divisors (39364664940).

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

13047672960 is a wasteful number, since it uses less digits than its factorization.

13047672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46268 (or 46246 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13047672960 in words is "thirteen billion, forty-seven million, six hundred seventy-two thousand, nine hundred sixty".