12883886400 has 504 divisors, whose sum is σ = 53116114240. Its totient is φ = 2676326400.

The previous prime is 12883886383. The next prime is 12883886413. The reversal of 12883886400 is 468838821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12883886400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4064016 + ... + 4067184.

Almost surely, 2^12883886400 is an apocalyptic number.

12883886400 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 12883886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558057120).

12883886400 is an abundant number, since it is smaller than the sum of its proper divisors (40232227840).

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

12883886400 is a wasteful number, since it uses less digits than its factorization.

12883886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 12883886400 in words is "twelve billion, eight hundred eighty-three million, eight hundred eighty-six thousand, four hundred".