12625353748800 has 1260 divisors, whose sum is σ = 50457693682836. Its totient is φ = 3095071948800.

The previous prime is 12625353748789. The next prime is 12625353748807. The reversal of 12625353748800 is 884735352621.

12625353748800 is a `hidden beast` number, since 1 + 2 + 6 + 25 + 3 + 537 + 4 + 8 + 80 + 0 = 666.

12625353748800 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 18 ways, for example, as 12623183679744 + 2170069056 = 3552912^2 + 46584^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12625353748807) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6066963760 + ... + 6066965840.

Almost surely, 2^{12625353748800} is an apocalyptic number.

12625353748800 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 12625353748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25228846841418).

12625353748800 is an abundant number, since it is smaller than the sum of its proper divisors (37832339934036).

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

12625353748800 is a wasteful number, since it uses less digits than its factorization.

12625353748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 12625353748800 in words is "twelve trillion, six hundred twenty-five billion, three hundred fifty-three million, seven hundred forty-eight thousand, eight hundred".