12557462400000 has 1848 divisors, whose sum is σ = 53833294136160. Its totient is φ = 2866544640000.

The previous prime is 12557462399959. The next prime is 12557462400037. The reversal of 12557462400000 is 426475521.

It is a happy number.

12557462400000 is a `hidden beast` number, since 1 + 2 + 557 + 4 + 62 + 40 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16329599616 + ... + 16329600384.

It is an arithmetic number, because the mean of its divisors is an integer number (29130570420).

Almost surely, 2^{12557462400000} is an apocalyptic number.

12557462400000 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 12557462400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26916647068080).

12557462400000 is an abundant number, since it is smaller than the sum of its proper divisors (41275831736160).

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

12557462400000 is an frugal number, since it uses more digits than its factorization.

12557462400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 12557462400000 its reverse (426475521), we get a palindrome (12557888875521).

The spelling of 12557462400000 in words is "twelve trillion, five hundred fifty-seven billion, four hundred sixty-two million, four hundred thousand".