13258216857600 has 3360 divisors, whose sum is σ = 60457591966464. Its totient is φ = 2837879193600.

The previous prime is 13258216857559. The next prime is 13258216857661. The reversal of 13258216857600 is 675861285231.

13258216857600 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 8 + 2 + 1 + 68 + 576 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 576444211189 + ... + 576444211211.

Almost surely, 2^{13258216857600} is an apocalyptic number.

13258216857600 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 13258216857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30228795983232).

13258216857600 is an abundant number, since it is smaller than the sum of its proper divisors (47199375108864).

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

13258216857600 is an frugal number, since it uses more digits than its factorization.

13258216857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 13258216857600 in words is "thirteen trillion, two hundred fifty-eight billion, two hundred sixteen million, eight hundred fifty-seven thousand, six hundred".