272132850096 has 240 divisors, whose sum is σ = 832380057600. Its totient is φ = 85832296704.

The previous prime is 272132849999. The next prime is 272132850103. The reversal of 272132850096 is 690058231272.

272132850096 is a `hidden beast` number, since 2 + 7 + 2 + 132 + 8 + 500 + 9 + 6 = 666.

272132850096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 80297170 + ... + 80300558.

It is an arithmetic number, because the mean of its divisors is an integer number (3468250240).

Almost surely, 2^272132850096 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 272132850096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416190028800).

272132850096 is an abundant number, since it is smaller than the sum of its proper divisors (560247207504).

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

272132850096 is a wasteful number, since it uses less digits than its factorization.

272132850096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 272132850096 in words is "two hundred seventy-two billion, one hundred thirty-two million, eight hundred fifty thousand, ninety-six".