272080884096 has 1152 divisors, whose sum is σ = 1013282524800. Its totient is φ = 69561483264.

The previous prime is 272080883993. The next prime is 272080884121. The reversal of 272080884096 is 690488080272.

272080884096 is a `hidden beast` number, since 27 + 208 + 0 + 8 + 8 + 409 + 6 = 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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2804957520 + ... + 2804957616.

It is an arithmetic number, because the mean of its divisors is an integer number (879585525).

Almost surely, 2^272080884096 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 272080884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506641262400).

272080884096 is an abundant number, since it is smaller than the sum of its proper divisors (741201640704).

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

272080884096 is a wasteful number, since it uses less digits than its factorization.

272080884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 272080884096 in words is "two hundred seventy-two billion, eighty million, eight hundred eighty-four thousand, ninety-six".