8905254838272 has 336 divisors, whose sum is σ = 27802285475328. Its totient is φ = 2730312990720.

The previous prime is 8905254838237. The next prime is 8905254838393. The reversal of 8905254838272 is 2728384525098.

It is a happy number.

8905254838272 is a `hidden beast` number, since 8 + 9 + 0 + 5 + 2 + 5 + 483 + 82 + 72 = 666.

It is a super-3 number, since 3×8905254838272³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271228897 + ... + 271261727.

It is an arithmetic number, because the mean of its divisors is an integer number (82744897248).

Almost surely, 2^{8905254838272} 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 8905254838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13901142737664).

8905254838272 is an abundant number, since it is smaller than the sum of its proper divisors (18897030637056).

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

8905254838272 is a wasteful number, since it uses less digits than its factorization.

8905254838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33159 (or 33132 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 8905254838272 in words is "eight trillion, nine hundred five billion, two hundred fifty-four million, eight hundred thirty-eight thousand, two hundred seventy-two".