508222033920 has 624 divisors, whose sum is σ = 1875768749712. Its totient is φ = 126835752960.

The previous prime is 508222033901. The next prime is 508222033987. The reversal of 508222033920 is 29330222805.

508222033920 is a `hidden beast` number, since 5 + 0 + 82 + 220 + 339 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7365758976 + 500856274944 = 85824^2 + 707712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755158704 + ... + 755159376.

It is an arithmetic number, because the mean of its divisors is an integer number (3006039663).

Almost surely, 2^508222033920 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 508222033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937884374856).

508222033920 is an abundant number, since it is smaller than the sum of its proper divisors (1367546715792).

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

508222033920 is a wasteful number, since it uses less digits than its factorization.

508222033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 508222033920 in words is "five hundred eight billion, two hundred twenty-two million, thirty-three thousand, nine hundred twenty".