506700172000 has 192 divisors, whose sum is σ = 1363455737280. Its totient is φ = 183533568000.

The previous prime is 506700171997. The next prime is 506700172001. The reversal of 506700172000 is 271007605.

It is a self number, because there is not a number n which added to its sum of digits gives 506700172000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506700172001) 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, 11285596 + ... + 11330404.

It is an arithmetic number, because the mean of its divisors is an integer number (7101331965).

Almost surely, 2^506700172000 is an apocalyptic number.

506700172000 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 506700172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681727868640).

506700172000 is an abundant number, since it is smaller than the sum of its proper divisors (856755565280).

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

506700172000 is a wasteful number, since it uses less digits than its factorization.

506700172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45102 (or 45084 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

Adding to 506700172000 its reverse (271007605), we get a palindrome (506971179605).

The spelling of 506700172000 in words is "five hundred six billion, seven hundred million, one hundred seventy-two thousand".