12425738985600 has 288 divisors, whose sum is σ = 43194729043440. Its totient is φ = 3139133184000.

The previous prime is 12425738985593. The next prime is 12425738985613. The reversal of 12425738985600 is 658983752421.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1672875 + ... + 5258325.

It is a 1-persistent number, because it is pandigital, but 2⋅12425738985600 = 24851477971200 is not.

Almost surely, 2^{12425738985600} is an apocalyptic number.

12425738985600 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 12425738985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21597364521720).

12425738985600 is an abundant number, since it is smaller than the sum of its proper divisors (30768990057840).

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

12425738985600 is a wasteful number, since it uses less digits than its factorization.

12425738985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585516 (or 3585480 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 12425738985600 in words is "twelve trillion, four hundred twenty-five billion, seven hundred thirty-eight million, nine hundred eighty-five thousand, six hundred".