12521760463296 has 448 divisors, whose sum is σ = 45188510080000. Its totient is φ = 3389345648640.

The previous prime is 12521760463259. The next prime is 12521760463297. The reversal of 12521760463296 is 69236406712521.

It is a happy number.

12521760463296 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 1 + 7 + 604 + 6 + 3 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12521760463297) 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, 10705416 + ... + 11817336.

It is an arithmetic number, because the mean of its divisors is an integer number (100867210000).

Almost surely, 2^{12521760463296} is an apocalyptic number.

12521760463296 is a gapful number since it is divisible by the number (16) 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 12521760463296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22594255040000).

12521760463296 is an abundant number, since it is smaller than the sum of its proper divisors (32666749616704).

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

12521760463296 is a wasteful number, since it uses less digits than its factorization.

12521760463296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111982 (or 1111952 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 12521760463296 in words is "twelve trillion, five hundred twenty-one billion, seven hundred sixty million, four hundred sixty-three thousand, two hundred ninety-six".