12859281600 has 336 divisors, whose sum is σ = 48030140160. Its totient is φ = 2981580800.

The previous prime is 12859281551. The next prime is 12859281601. The reversal of 12859281600 is 618295821.

It is a happy number.

It is a super-2 number, since 2×12859281600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12859281601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209106 + ... + 1219694.

Almost surely, 2^12859281600 is an apocalyptic number.

12859281600 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 12859281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24015070080).

12859281600 is an abundant number, since it is smaller than the sum of its proper divisors (35170858560).

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

12859281600 is a wasteful number, since it uses less digits than its factorization.

12859281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 10633 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 12859281600 in words is "twelve billion, eight hundred fifty-nine million, two hundred eighty-one thousand, six hundred".