12780518688 has 576 divisors, whose sum is σ = 45849888000. Its totient is φ = 3448811520.

The previous prime is 12780518683. The next prime is 12780518711. The reversal of 12780518688 is 88681508721.

It is a super-3 number, since 3×12780518688³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12780518683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64223613 + ... + 64223811.

It is an arithmetic number, because the mean of its divisors is an integer number (79600500).

Almost surely, 2^12780518688 is an apocalyptic number.

12780518688 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 12780518688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22924944000).

12780518688 is an abundant number, since it is smaller than the sum of its proper divisors (33069369312).

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

12780518688 is a wasteful number, since it uses less digits than its factorization.

12780518688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 12780518688 in words is "twelve billion, seven hundred eighty million, five hundred eighteen thousand, six hundred eighty-eight".