20831670240 has 96 divisors (see below), whose sum is σ = 65949811200. Its totient is φ = 5527171584.

The previous prime is 20831670227. The next prime is 20831670271. The reversal of 20831670240 is 4207613802.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 13524 + ... + 204563.

It is an arithmetic number, because the mean of its divisors is an integer number (686977200).

Almost surely, 2^20831670240 is an apocalyptic number.

20831670240 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 20831670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32974905600).

20831670240 is an abundant number, since it is smaller than the sum of its proper divisors (45118140960).

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

20831670240 is a wasteful number, since it uses less digits than its factorization.

20831670240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218304 (or 218296 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 20831670240 in words is "twenty billion, eight hundred thirty-one million, six hundred seventy thousand, two hundred forty".