13002823680 has 768 divisors, whose sum is σ = 54344908800. Its totient is φ = 2573598720.

The previous prime is 13002823663. The next prime is 13002823693. The reversal of 13002823680 is 8632820031.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 54405001 + ... + 54405239.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600).

Almost surely, 2^13002823680 is an apocalyptic number.

13002823680 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 13002823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172454400).

13002823680 is an abundant number, since it is smaller than the sum of its proper divisors (41342085120).

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

13002823680 is a wasteful number, since it uses less digits than its factorization.

13002823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 13002823680 in words is "thirteen billion, two million, eight hundred twenty-three thousand, six hundred eighty".