20829843181672 has 64 divisors (see below), whose sum is σ = 45310542261120. Its totient is φ = 8792095580928.

The previous prime is 20829843181619. The next prime is 20829843181687. The reversal of 20829843181672 is 27618134892802.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20829843181672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18502158 + ... + 19595650.

It is an arithmetic number, because the mean of its divisors is an integer number (707977222830).

Almost surely, 2^{20829843181672} 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 20829843181672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22655271130560).

20829843181672 is an abundant number, since it is smaller than the sum of its proper divisors (24480699079448).

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

20829843181672 is a wasteful number, since it uses less digits than its factorization.

20829843181672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098650 (or 1098646 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 20829843181672 in words is "twenty trillion, eight hundred twenty-nine billion, eight hundred forty-three million, one hundred eighty-one thousand, six hundred seventy-two".