32117021820 has 288 divisors, whose sum is σ = 107784069120. Its totient is φ = 7692572160.

The previous prime is 32117021803. The next prime is 32117021821. The reversal of 32117021820 is 2812071123.

It is a super-2 number, since 2×32117021820² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32117021821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13123837 + ... + 13126283.

It is an arithmetic number, because the mean of its divisors is an integer number (374250240).

Almost surely, 2^32117021820 is an apocalyptic number.

32117021820 is a gapful number since it is divisible by the number (30) 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 32117021820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53892034560).

32117021820 is an abundant number, since it is smaller than the sum of its proper divisors (75667047300).

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

32117021820 is a wasteful number, since it uses less digits than its factorization.

32117021820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 32117021820 its reverse (2812071123), we get a palindrome (34929092943).

The spelling of 32117021820 in words is "thirty-two billion, one hundred seventeen million, twenty-one thousand, eight hundred twenty".