12523550546400 has 144 divisors (see below), whose sum is σ = 40784770857600. Its totient is φ = 3337924687360.

The previous prime is 12523550546371. The next prime is 12523550546413. The reversal of 12523550546400 is 464505532521.

12523550546400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3431221 + ... + 6067979.

It is an arithmetic number, because the mean of its divisors is an integer number (283227575400).

Almost surely, 2^{12523550546400} is an apocalyptic number.

12523550546400 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 12523550546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392385428800).

12523550546400 is an abundant number, since it is smaller than the sum of its proper divisors (28261220311200).

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

12523550546400 is a wasteful number, since it uses less digits than its factorization.

12523550546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638761 (or 2638748 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 12523550546400 in words is "twelve trillion, five hundred twenty-three billion, five hundred fifty million, five hundred forty-six thousand, four hundred".