12953134147680 has 576 divisors, whose sum is σ = 45420137380800. Its totient is φ = 3360687390720.

The previous prime is 12953134147663. The next prime is 12953134147691. The reversal of 12953134147680 is 8674143135921.

12953134147680 is a `hidden beast` number, since 1 + 2 + 9 + 53 + 1 + 3 + 41 + 476 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2225239170 + ... + 2225244990.

It is an arithmetic number, because the mean of its divisors is an integer number (78854405175).

It is a 1-persistent number, because it is pandigital, but 2⋅12953134147680 = 25906268295360 is not.

Almost surely, 2^{12953134147680} is an apocalyptic number.

12953134147680 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 12953134147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22710068690400).

12953134147680 is an abundant number, since it is smaller than the sum of its proper divisors (32467003233120).

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

12953134147680 is a wasteful number, since it uses less digits than its factorization.

12953134147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6207 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12953134147680 in words is "twelve trillion, nine hundred fifty-three billion, one hundred thirty-four million, one hundred forty-seven thousand, six hundred eighty".