12873759360 has 768 divisors, whose sum is σ = 53826232320. Its totient is φ = 2539929600.

The previous prime is 12873759347. The next prime is 12873759407. The reversal of 12873759360 is 6395737821.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 242901094 + ... + 242901146.

It is an arithmetic number, because the mean of its divisors is an integer number (70086240).

Almost surely, 2^12873759360 is an apocalyptic number.

12873759360 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 12873759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26913116160).

12873759360 is an abundant number, since it is smaller than the sum of its proper divisors (40952472960).

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

12873759360 is a wasteful number, since it uses less digits than its factorization.

12873759360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 12873759360 in words is "twelve billion, eight hundred seventy-three million, seven hundred fifty-nine thousand, three hundred sixty".