13005982080 has 768 divisors, whose sum is σ = 57385036800. Its totient is φ = 2741133312.

The previous prime is 13005982037. The next prime is 13005982097. The reversal of 13005982080 is 8028950031.

It is a super-2 number, since 2×13005982080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14151861 + ... + 14152779.

It is an arithmetic number, because the mean of its divisors is an integer number (74720100).

Almost surely, 2^13005982080 is an apocalyptic number.

13005982080 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 13005982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28692518400).

13005982080 is an abundant number, since it is smaller than the sum of its proper divisors (44379054720).

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

13005982080 is an equidigital number, since it uses as much as digits as its factorization.

13005982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13005982080 in words is "thirteen billion, five million, nine hundred eighty-two thousand, eighty".