13002385760 has 384 divisors, whose sum is σ = 40455604224. Its totient is φ = 3836067840.

The previous prime is 13002385751. The next prime is 13002385763. The reversal of 13002385760 is 6758320031.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13002385760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002385763) 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 63 ways as a sum of consecutive naturals, for example, 13729607 + ... + 13730553.

It is an arithmetic number, because the mean of its divisors is an integer number (105353136).

Almost surely, 2^13002385760 is an apocalyptic number.

13002385760 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 13002385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20227802112).

13002385760 is an abundant number, since it is smaller than the sum of its proper divisors (27453218464).

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

13002385760 is a wasteful number, since it uses less digits than its factorization.

13002385760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 13002385760 in words is "thirteen billion, two million, three hundred eighty-five thousand, seven hundred sixty".