13375369028736 has 1536 divisors, whose sum is σ = 48287262965760. Its totient is φ = 3497582592000.

The previous prime is 13375369028683. The next prime is 13375369028743. The reversal of 13375369028736 is 63782096357331.

13375369028736 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 536 + 9 + 0 + 28 + 73 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26591190661 + ... + 26591191163.

It is an arithmetic number, because the mean of its divisors is an integer number (31437020160).

Almost surely, 2^{13375369028736} is an apocalyptic number.

13375369028736 is a gapful number since it is divisible by the number (16) 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 13375369028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24143631482880).

13375369028736 is an abundant number, since it is smaller than the sum of its proper divisors (34911893937024).

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

13375369028736 is a wasteful number, since it uses less digits than its factorization.

13375369028736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 13375369028736 in words is "thirteen trillion, three hundred seventy-five billion, three hundred sixty-nine million, twenty-eight thousand, seven hundred thirty-six".