12778386574500 has 432 divisors, whose sum is σ = 42896179544400. Its totient is φ = 3201592320000.

The previous prime is 12778386574453. The next prime is 12778386574549. The reversal of 12778386574500 is 547568387721.

It is a happy number.

12778386574500 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 8 + 3 + 8 + 6 + 574 + 50 + 0 = 666.

12778386574500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 10095578441316 + 2682808133184 = 3177354^2 + 1637928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 781592326 + ... + 781608674.

Almost surely, 2^{12778386574500} is an apocalyptic number.

12778386574500 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 12778386574500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21448089772200).

12778386574500 is an abundant number, since it is smaller than the sum of its proper divisors (30117792969900).

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

12778386574500 is a wasteful number, since it uses less digits than its factorization.

12778386574500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17009 (or 16977 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 12778386574500 in words is "twelve trillion, seven hundred seventy-eight billion, three hundred eighty-six million, five hundred seventy-four thousand, five hundred".