13802304580000 has 120 divisors (see below), whose sum is σ = 33988471957440. Its totient is φ = 5515599840000.

The previous prime is 13802304579977. The next prime is 13802304580087. The reversal of 13802304580000 is 8540320831.

It is a happy number.

It is a super-2 number, since 2×13802304580000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20447895 + ... + 21112105.

It is an arithmetic number, because the mean of its divisors is an integer number (283237266312).

Almost surely, 2^{13802304580000} is an apocalyptic number.

13802304580000 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 13802304580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994235978720).

13802304580000 is an abundant number, since it is smaller than the sum of its proper divisors (20186167377440).

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

13802304580000 is an equidigital number, since it uses as much as digits as its factorization.

13802304580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665280 (or 665257 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 13802304580000 in words is "thirteen trillion, eight hundred two billion, three hundred four million, five hundred eighty thousand".