12816506880 has 280 divisors, whose sum is σ = 45958640112. Its totient is φ = 3416850432.

The previous prime is 12816506869. The next prime is 12816506881. The reversal of 12816506880 is 8860561821.

12816506880 is a `hidden beast` number, since 128 + 16 + 506 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12816506881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3315829 + ... + 3319691.

Almost surely, 2^12816506880 is an apocalyptic number.

12816506880 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 12816506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22979320056).

12816506880 is an abundant number, since it is smaller than the sum of its proper divisors (33142133232).

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

12816506880 is an frugal number, since it uses more digits than its factorization.

12816506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 12816506880 in words is "twelve billion, eight hundred sixteen million, five hundred six thousand, eight hundred eighty".