13182752115072 has 768 divisors, whose sum is σ = 42655171104000. Its totient is φ = 4038961397760.

The previous prime is 13182752115019. The next prime is 13182752115079. The reversal of 13182752115072 is 27051125728131.

13182752115072 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 2 + 7 + 521 + 1 + 50 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13182752115079) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4676391679 + ... + 4676394497.

It is an arithmetic number, because the mean of its divisors is an integer number (55540587375).

Almost surely, 2^{13182752115072} is an apocalyptic number.

13182752115072 is a gapful number since it is divisible by the number (12) 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 13182752115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21327585552000).

13182752115072 is an abundant number, since it is smaller than the sum of its proper divisors (29472418988928).

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

13182752115072 is a wasteful number, since it uses less digits than its factorization.

13182752115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 13182752115072 in words is "thirteen trillion, one hundred eighty-two billion, seven hundred fifty-two million, one hundred fifteen thousand, seventy-two".