12376585468800 has 1536 divisors, whose sum is σ = 54785064960000. Its totient is φ = 2665538150400.

The previous prime is 12376585468777. The next prime is 12376585468837. The reversal of 12376585468800 is 886458567321.

12376585468800 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 6 + 5 + 8 + 546 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×12376585468800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2194816381 + ... + 2194822019.

It is an arithmetic number, because the mean of its divisors is an integer number (35667360000).

Almost surely, 2^{12376585468800} is an apocalyptic number.

12376585468800 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 12376585468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27392532480000).

12376585468800 is an abundant number, since it is smaller than the sum of its proper divisors (42408479491200).

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

12376585468800 is a wasteful number, since it uses less digits than its factorization.

12376585468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 12376585468800 in words is "twelve trillion, three hundred seventy-six billion, five hundred eighty-five million, four hundred sixty-eight thousand, eight hundred".