33820506500 has 192 divisors, whose sum is σ = 82281588480. Its totient is φ = 12041600000.

The previous prime is 33820506437. The next prime is 33820506539. The reversal of 33820506500 is 560502833.

It is a super-2 number, since 2×33820506500² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59438216 + ... + 59438784.

It is an arithmetic number, because the mean of its divisors is an integer number (428549940).

Almost surely, 2^33820506500 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 33820506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140794240).

33820506500 is an abundant number, since it is smaller than the sum of its proper divisors (48461081980).

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

33820506500 is a wasteful number, since it uses less digits than its factorization.

33820506500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 33820506500 in words is "thirty-three billion, eight hundred twenty million, five hundred six thousand, five hundred".