13075320672 has 192 divisors, whose sum is σ = 39089675520. Its totient is φ = 4304016000.

The previous prime is 13075320637. The next prime is 13075320673. The reversal of 13075320672 is 27602357031.

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 (13075320673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5807547 + ... + 5809797.

It is an arithmetic number, because the mean of its divisors is an integer number (203592060).

Almost surely, 2^13075320672 is an apocalyptic number.

13075320672 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 13075320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544837760).

13075320672 is an abundant number, since it is smaller than the sum of its proper divisors (26014354848).

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

13075320672 is an frugal number, since it uses more digits than its factorization.

13075320672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 13075320672 in words is "thirteen billion, seventy-five million, three hundred twenty thousand, six hundred seventy-two".