12838474800 has 720 divisors, whose sum is σ = 50749564320. Its totient is φ = 2985984000.

The previous prime is 12838474799. The next prime is 12838474829. The reversal of 12838474800 is 847483821.

12838474800 is a `hidden beast` number, since 12 + 83 + 84 + 7 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70930710 + ... + 70930890.

It is an arithmetic number, because the mean of its divisors is an integer number (70485506).

Almost surely, 2^12838474800 is an apocalyptic number.

12838474800 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 12838474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25374782160).

12838474800 is an abundant number, since it is smaller than the sum of its proper divisors (37911089520).

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

12838474800 is a wasteful number, since it uses less digits than its factorization.

12838474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12838474800 in words is "twelve billion, eight hundred thirty-eight million, four hundred seventy-four thousand, eight hundred".