12798399600 has 960 divisors, whose sum is σ = 55422484480. Its totient is φ = 2743372800.

The previous prime is 12798399589. The next prime is 12798399619. The reversal of 12798399600 is 699389721.

12798399600 is a `hidden beast` number, since 1 + 27 + 9 + 8 + 3 + 9 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100774737 + ... + 100774863.

Almost surely, 2^12798399600 is an apocalyptic number.

12798399600 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 12798399600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27711242240).

12798399600 is an abundant number, since it is smaller than the sum of its proper divisors (42624084880).

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

12798399600 is a wasteful number, since it uses less digits than its factorization.

12798399600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 12798399600 in words is "twelve billion, seven hundred ninety-eight million, three hundred ninety-nine thousand, six hundred".