12815280000 has 640 divisors, whose sum is σ = 50187060000. Its totient is φ = 3207168000.

The previous prime is 12815279951. The next prime is 12815280007. The reversal of 12815280000 is 8251821.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12815280007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36719826 + ... + 36720174.

Almost surely, 2^12815280000 is an apocalyptic number.

12815280000 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 12815280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25093530000).

12815280000 is an abundant number, since it is smaller than the sum of its proper divisors (37371780000).

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

12815280000 is an equidigital number, since it uses as much as digits as its factorization.

12815280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 12815280000 in words is "twelve billion, eight hundred fifteen million, two hundred eighty thousand".