12861676800 has 1080 divisors, whose sum is σ = 56794420480. Its totient is φ = 2844979200.

The previous prime is 12861676799. The next prime is 12861676873. The reversal of 12861676800 is 867616821.

It is a happy number.

12861676800 is a `hidden beast` number, since 1 + 28 + 616 + 7 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 414892785 + ... + 414892815.

Almost surely, 2^12861676800 is an apocalyptic number.

12861676800 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 12861676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28397210240).

12861676800 is an abundant number, since it is smaller than the sum of its proper divisors (43932743680).

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

12861676800 is an frugal number, since it uses more digits than its factorization.

12861676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12861676800 in words is "twelve billion, eight hundred sixty-one million, six hundred seventy-six thousand, eight hundred".