20080217792 has 84 divisors (see below), whose sum is σ = 42195399480. Its totient is φ = 9479780352.

The previous prime is 20080217741. The next prime is 20080217837. The reversal of 20080217792 is 29771208002.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7784759 + ... + 7787337.

Almost surely, 2^20080217792 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 20080217792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097699740).

20080217792 is an abundant number, since it is smaller than the sum of its proper divisors (22115181688).

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

20080217792 is a wasteful number, since it uses less digits than its factorization.

20080217792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 20080217792 in words is "twenty billion, eighty million, two hundred seventeen thousand, seven hundred ninety-two".