13380084288 has 84 divisors (see below), whose sum is σ = 38644573968. Its totient is φ = 4425957120.

The previous prime is 13380084283. The next prime is 13380084323. The reversal of 13380084288 is 88248008331.

It is a super-3 number, since 3×13380084288³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13380084281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13206 + ... + 164117.

It is an arithmetic number, because the mean of its divisors is an integer number (460054452).

Almost surely, 2^13380084288 is an apocalyptic number.

13380084288 is a gapful number since it is divisible by the number (18) 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 13380084288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322286984).

13380084288 is an abundant number, since it is smaller than the sum of its proper divisors (25264489680).

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

13380084288 is a wasteful number, since it uses less digits than its factorization.

13380084288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177472 (or 177459 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 13380084288 in words is "thirteen billion, three hundred eighty million, eighty-four thousand, two hundred eighty-eight".