12523891325760 has 448 divisors, whose sum is σ = 46958434099200. Its totient is φ = 3133208438784.

The previous prime is 12523891325747. The next prime is 12523891325761. The reversal of 12523891325760 is 6752319832521.

12523891325760 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 38 + 9 + 1 + 32 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12523891325697 and 12523891325706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12523891325761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16538137 + ... + 17278823.

Almost surely, 2^{12523891325760} is an apocalyptic number.

12523891325760 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 12523891325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23479217049600).

12523891325760 is an abundant number, since it is smaller than the sum of its proper divisors (34434542773440).

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

12523891325760 is a wasteful number, since it uses less digits than its factorization.

12523891325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740835 (or 740819 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 12523891325760 in words is "twelve trillion, five hundred twenty-three billion, eight hundred ninety-one million, three hundred twenty-five thousand, seven hundred sixty".