20831772672 has 224 divisors, whose sum is σ = 64981531200. Its totient is φ = 6577127424.

The previous prime is 20831772641. The next prime is 20831772751. The reversal of 20831772672 is 27627713802.

20831772672 is a `hidden beast` number, since 208 + 317 + 72 + 67 + 2 = 666.

It is a super-3 number, since 3×20831772672³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4200018 + ... + 4204974.

Almost surely, 2^20831772672 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 20831772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32490765600).

20831772672 is an abundant number, since it is smaller than the sum of its proper divisors (44149758528).

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

20831772672 is an equidigital number, since it uses as much as digits as its factorization.

20831772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 20831772672 in words is "twenty billion, eight hundred thirty-one million, seven hundred seventy-two thousand, six hundred seventy-two".