12805478400 has 864 divisors, whose sum is σ = 51056263440. Its totient is φ = 2811494400.

The previous prime is 12805478369. The next prime is 12805478423. The reversal of 12805478400 is 487450821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 241612774 + ... + 241612826.

Almost surely, 2^12805478400 is an apocalyptic number.

12805478400 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 12805478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528131720).

12805478400 is an abundant number, since it is smaller than the sum of its proper divisors (38250785040).

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

12805478400 is a wasteful number, since it uses less digits than its factorization.

12805478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 12805478400 in words is "twelve billion, eight hundred five million, four hundred seventy-eight thousand, four hundred".