12815585280 has 312 divisors, whose sum is σ = 46368661248. Its totient is φ = 3267821568.

The previous prime is 12815585261. The next prime is 12815585339. The reversal of 12815585280 is 8258551821.

12815585280 is a `hidden beast` number, since 12 + 8 + 1 + 558 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4237849 + ... + 4240871.

It is an arithmetic number, because the mean of its divisors is an integer number (148617504).

Almost surely, 2^12815585280 is an apocalyptic number.

12815585280 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 12815585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23184330624).

12815585280 is an abundant number, since it is smaller than the sum of its proper divisors (33553075968).

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

12815585280 is a wasteful number, since it uses less digits than its factorization.

12815585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 12815585280 in words is "twelve billion, eight hundred fifteen million, five hundred eighty-five thousand, two hundred eighty".