12798259200 has 390 divisors, whose sum is σ = 47438536904. Its totient is φ = 3410657280.

The previous prime is 12798259181. The next prime is 12798259211. The reversal of 12798259200 is 295289721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8293629 + ... + 8295171.

Almost surely, 2^12798259200 is an apocalyptic number.

12798259200 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 12798259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23719268452).

12798259200 is an abundant number, since it is smaller than the sum of its proper divisors (34640277704).

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

12798259200 is an equidigital number, since it uses as much as digits as its factorization.

12798259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12798259200 in words is "twelve billion, seven hundred ninety-eight million, two hundred fifty-nine thousand, two hundred".