12553750745400 has 768 divisors, whose sum is σ = 43382366208000. Its totient is φ = 2986914078720.

The previous prime is 12553750745359. The next prime is 12553750745447. The reversal of 12553750745400 is 454705735521.

It is a self number, because there is not a number n which added to its sum of digits gives 12553750745400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20681631897 + ... + 20681632503.

It is an arithmetic number, because the mean of its divisors is an integer number (56487456000).

Almost surely, 2^{12553750745400} is an apocalyptic number.

12553750745400 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 12553750745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21691183104000).

12553750745400 is an abundant number, since it is smaller than the sum of its proper divisors (30828615462600).

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

12553750745400 is a wasteful number, since it uses less digits than its factorization.

12553750745400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 2940000, while the sum is 48.

The spelling of 12553750745400 in words is "twelve trillion, five hundred fifty-three billion, seven hundred fifty million, seven hundred forty-five thousand, four hundred".