13028475732480 has 1280 divisors, whose sum is σ = 53003682547200. Its totient is φ = 3004988129280.

The previous prime is 13028475732479. The next prime is 13028475732511. The reversal of 13028475732480 is 8423757482031.

It is a happy number.

13028475732480 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 8 + 47 + 573 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3681398551 + ... + 3681402089.

It is an arithmetic number, because the mean of its divisors is an integer number (41409126990).

Almost surely, 2^{13028475732480} is an apocalyptic number.

13028475732480 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 13028475732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26501841273600).

13028475732480 is an abundant number, since it is smaller than the sum of its proper divisors (39975206814720).

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

13028475732480 is a wasteful number, since it uses less digits than its factorization.

13028475732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 13028475732480 in words is "thirteen trillion, twenty-eight billion, four hundred seventy-five million, seven hundred thirty-two thousand, four hundred eighty".