12357676800 has 324 divisors, whose sum is σ = 50494771600. Its totient is φ = 2824519680.

The previous prime is 12357676783. The next prime is 12357676813. The reversal of 12357676800 is 867675321.

12357676800 is a `hidden beast` number, since 1 + 2 + 3 + 576 + 76 + 8 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387876 + ... + 418524.

Almost surely, 2^12357676800 is an apocalyptic number.

12357676800 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 12357676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25247385800).

12357676800 is an abundant number, since it is smaller than the sum of its proper divisors (38137094800).

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

12357676800 is a wasteful number, since it uses less digits than its factorization.

12357676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30688 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12357676800 in words is "twelve billion, three hundred fifty-seven million, six hundred seventy-six thousand, eight hundred".