506922885120 has 448 divisors, whose sum is σ = 1713763505664. Its totient is φ = 127685099520.

The previous prime is 506922885071. The next prime is 506922885121. The reversal of 506922885120 is 21588229605.

It is a super-2 number, since 2×506922885120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 506922885120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506922885121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234576840 + ... + 234579000.

It is an arithmetic number, because the mean of its divisors is an integer number (3825364968).

Almost surely, 2^506922885120 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 506922885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856881752832).

506922885120 is an abundant number, since it is smaller than the sum of its proper divisors (1206840620544).

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

506922885120 is a wasteful number, since it uses less digits than its factorization.

506922885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 506922885120 in words is "five hundred six billion, nine hundred twenty-two million, eight hundred eighty-five thousand, one hundred twenty".