8119155382272 has 1152 divisors, whose sum is σ = 27731942784000. Its totient is φ = 2262420357120.

The previous prime is 8119155382249. The next prime is 8119155382301. The reversal of 8119155382272 is 2722835519118.

8119155382272 is a `hidden beast` number, since 8 + 1 + 1 + 9 + 1 + 553 + 82 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 21422573379 + ... + 21422573757.

It is an arithmetic number, because the mean of its divisors is an integer number (24072867000).

Almost surely, 2^{8119155382272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8119155382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865971392000).

8119155382272 is an abundant number, since it is smaller than the sum of its proper divisors (19612787401728).

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

8119155382272 is a wasteful number, since it uses less digits than its factorization.

8119155382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 8119155382272 in words is "eight trillion, one hundred nineteen billion, one hundred fifty-five million, three hundred eighty-two thousand, two hundred seventy-two".