12662478892800 has 1296 divisors, whose sum is σ = 51361337664000. Its totient is φ = 2948095180800.

The previous prime is 12662478892787. The next prime is 12662478892831. The reversal of 12662478892800 is 829887426621.

12662478892800 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 2 + 478 + 89 + 2 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3656503869 + ... + 3656507331.

Almost surely, 2^{12662478892800} is an apocalyptic number.

12662478892800 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 12662478892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680668832000).

12662478892800 is an abundant number, since it is smaller than the sum of its proper divisors (38698858771200).

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

12662478892800 is a wasteful number, since it uses less digits than its factorization.

12662478892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 12662478892800 in words is "twelve trillion, six hundred sixty-two billion, four hundred seventy-eight million, eight hundred ninety-two thousand, eight hundred".