12533572953216 has 288 divisors, whose sum is σ = 43786326118080. Its totient is φ = 3370371932160.

The previous prime is 12533572953151. The next prime is 12533572953269. The reversal of 12533572953216 is 61235927533521.

12533572953216 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 572 + 9 + 53 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 358540 + ... + 5019531.

Almost surely, 2^{12533572953216} is an apocalyptic number.

12533572953216 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 12533572953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21893163059040).

12533572953216 is an abundant number, since it is smaller than the sum of its proper divisors (31252753164864).

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

12533572953216 is a wasteful number, since it uses less digits than its factorization.

12533572953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378132 (or 5378100 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The spelling of 12533572953216 in words is "twelve trillion, five hundred thirty-three billion, five hundred seventy-two million, nine hundred fifty-three thousand, two hundred sixteen".