12885918304 has 96 divisors (see below), whose sum is σ = 29975242752. Its totient is φ = 5341622400.

The previous prime is 12885918293. The next prime is 12885918307. The reversal of 12885918304 is 40381958821.

It is a happy number.

It is a super-3 number, since 3×12885918304³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12885918307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6672219 + ... + 6674149.

It is an arithmetic number, because the mean of its divisors is an integer number (312242112).

Almost surely, 2^12885918304 is an apocalyptic number.

12885918304 is a gapful number since it is divisible by the number (14) 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 12885918304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987621376).

12885918304 is an abundant number, since it is smaller than the sum of its proper divisors (17089324448).

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

12885918304 is an frugal number, since it uses more digits than its factorization.

12885918304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 12885918304 in words is "twelve billion, eight hundred eighty-five million, nine hundred eighteen thousand, three hundred four".