12798855360 has 280 divisors, whose sum is σ = 47100469680. Its totient is φ = 3295143936.

The previous prime is 12798855353. The next prime is 12798855383. The reversal of 12798855360 is 6355889721.

12798855360 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 88 + 553 + 6 + 0 = 666.

12798855360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12798855297 and 12798855306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743167 + ... + 760193.

Almost surely, 2^12798855360 is an apocalyptic number.

12798855360 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 12798855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23550234840).

12798855360 is an abundant number, since it is smaller than the sum of its proper divisors (34301614320).

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

12798855360 is a wasteful number, since it uses less digits than its factorization.

12798855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17085 (or 17066 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12798855360 in words is "twelve billion, seven hundred ninety-eight million, eight hundred fifty-five thousand, three hundred sixty".