12524225537280 has 288 divisors, whose sum is σ = 42316098048000. Its totient is φ = 3148111650816.

The previous prime is 12524225537273. The next prime is 12524225537281. The reversal of 12524225537280 is 8273552242521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12524225537281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14087737 + ... + 14950343.

It is an arithmetic number, because the mean of its divisors is an integer number (146930896000).

Almost surely, 2^{12524225537280} is an apocalyptic number.

12524225537280 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 12524225537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21158049024000).

12524225537280 is an abundant number, since it is smaller than the sum of its proper divisors (29791872510720).

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

12524225537280 is a wasteful number, since it uses less digits than its factorization.

12524225537280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862849 (or 862835 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 12524225537280 in words is "twelve trillion, five hundred twenty-four billion, two hundred twenty-five million, five hundred thirty-seven thousand, two hundred eighty".