12995608492800 has 648 divisors, whose sum is σ = 50395347147600. Its totient is φ = 3182080819200.

The previous prime is 12995608492697. The next prime is 12995608492837. The reversal of 12995608492800 is 829480659921.

12995608492800 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 5 + 60 + 8 + 492 + 80 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 39985351 + ... + 40309049.

It is an arithmetic number, because the mean of its divisors is an integer number (77770597450).

Almost surely, 2^{12995608492800} is an apocalyptic number.

12995608492800 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 12995608492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25197673573800).

12995608492800 is an abundant number, since it is smaller than the sum of its proper divisors (37399738654800).

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

12995608492800 is a wasteful number, since it uses less digits than its factorization.

12995608492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323789 (or 323767 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 12995608492800 in words is "twelve trillion, nine hundred ninety-five billion, six hundred eight million, four hundred ninety-two thousand, eight hundred".