12816855240 has 256 divisors, whose sum is σ = 44546457600. Its totient is φ = 2889686016.

The previous prime is 12816855239. The next prime is 12816855253. The reversal of 12816855240 is 4255861821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12816855192 and 12816855201.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33817371 + ... + 33817749.

It is an arithmetic number, because the mean of its divisors is an integer number (174009600).

Almost surely, 2^12816855240 is an apocalyptic number.

12816855240 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 12816855240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273228800).

12816855240 is an abundant number, since it is smaller than the sum of its proper divisors (31729602360).

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

12816855240 is a wasteful number, since it uses less digits than its factorization.

12816855240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 12816855240 in words is "twelve billion, eight hundred sixteen million, eight hundred fifty-five thousand, two hundred forty".