12878775360 has 672 divisors, whose sum is σ = 50851368960. Its totient is φ = 3065610240.

The previous prime is 12878775347. The next prime is 12878775373. The reversal of 12878775360 is 6357787821.

12878775360 is a `hidden beast` number, since 1 + 28 + 7 + 87 + 7 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12878775347) and next prime (12878775373).

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 = 12878775297 and 12878775306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101407617 + ... + 101407743.

It is an arithmetic number, because the mean of its divisors is an integer number (75671680).

Almost surely, 2^12878775360 is an apocalyptic number.

12878775360 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 12878775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425684480).

12878775360 is an abundant number, since it is smaller than the sum of its proper divisors (37972593600).

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

12878775360 is a wasteful number, since it uses less digits than its factorization.

12878775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 12878775360 in words is "twelve billion, eight hundred seventy-eight million, seven hundred seventy-five thousand, three hundred sixty".