12523870930480 has 320 divisors, whose sum is σ = 36369412208640. Its totient is φ = 3904896688128.

The previous prime is 12523870930471. The next prime is 12523870930481. The reversal of 12523870930480 is 8403907832521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (12523870930481) 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, 488380539 + ... + 488406181.

It is an arithmetic number, because the mean of its divisors is an integer number (113654413152).

Almost surely, 2^{12523870930480} is an apocalyptic number.

12523870930480 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 12523870930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184706104320).

12523870930480 is an abundant number, since it is smaller than the sum of its proper divisors (23845541278160).

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

12523870930480 is a wasteful number, since it uses less digits than its factorization.

12523870930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26668 (or 26662 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 12523870930480 in words is "twelve trillion, five hundred twenty-three billion, eight hundred seventy million, nine hundred thirty thousand, four hundred eighty".