12523219861680 has 320 divisors, whose sum is σ = 47079875980800. Its totient is φ = 3034452833280.

The previous prime is 12523219861673. The next prime is 12523219861681. The reversal of 12523219861680 is 8616891232521.

12523219861680 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 3 + 2 + 19 + 8 + 616 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12523219861681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49032067 + ... + 49286813.

It is an arithmetic number, because the mean of its divisors is an integer number (147124612440).

Almost surely, 2^{12523219861680} is an apocalyptic number.

12523219861680 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 12523219861680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23539937990400).

12523219861680 is an abundant number, since it is smaller than the sum of its proper divisors (34556656119120).

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

12523219861680 is a wasteful number, since it uses less digits than its factorization.

12523219861680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256849 (or 256837 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12523219861680 in words is "twelve trillion, five hundred twenty-three billion, two hundred nineteen million, eight hundred sixty-one thousand, six hundred eighty".