20830261231872 has 180 divisors, whose sum is σ = 62117842665340. Its totient is φ = 6942775099392.

The previous prime is 20830261231853. The next prime is 20830261231919. The reversal of 20830261231872 is 27813216203802.

20830261231872 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 0 + 261 + 2 + 318 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2073185300736 + 18757075931136 = 1439856^2 + 4330944^2 .

It is a super-2 number, since 2×20830261231872² (a number of 27 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 257272548 + ... + 257353500.

Almost surely, 2^{20830261231872} 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 20830261231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31058921332670).

20830261231872 is an abundant number, since it is smaller than the sum of its proper divisors (41287581433468).

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

20830261231872 is an equidigital number, since it uses as much as digits as its factorization.

20830261231872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93390 (or 93367 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20830261231872 in words is "twenty trillion, eight hundred thirty billion, two hundred sixty-one million, two hundred thirty-one thousand, eight hundred seventy-two".