506015852000 has 192 divisors, whose sum is σ = 1300990699008. Its totient is φ = 193190400000.

The previous prime is 506015851931. The next prime is 506015852011. The reversal of 506015852000 is 258510605.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9024050 + ... + 9079950.

It is an arithmetic number, because the mean of its divisors is an integer number (6775993224).

Almost surely, 2^506015852000 is an apocalyptic number.

506015852000 is a gapful number since it is divisible by the number (50) 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 506015852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650495349504).

506015852000 is an abundant number, since it is smaller than the sum of its proper divisors (794974847008).

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

506015852000 is a wasteful number, since it uses less digits than its factorization.

506015852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56030 (or 56012 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 506015852000 in words is "five hundred six billion, fifteen million, eight hundred fifty-two thousand".