272831209100 has 72 divisors (see below), whose sum is σ = 598215618000. Its totient is φ = 107995936000.

The previous prime is 272831209087. The next prime is 272831209103. The reversal of 272831209100 is 1902138272.

272831209100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (272831209103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23315051 + ... + 23326749.

It is an arithmetic number, because the mean of its divisors is an integer number (8308550250).

Almost surely, 2^272831209100 is an apocalyptic number.

272831209100 is a gapful number since it is divisible by the number (20) 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 272831209100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299107809000).

272831209100 is an abundant number, since it is smaller than the sum of its proper divisors (325384408900).

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

272831209100 is a wasteful number, since it uses less digits than its factorization.

272831209100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14123 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 272831209100 in words is "two hundred seventy-two billion, eight hundred thirty-one million, two hundred nine thousand, one hundred".