506107057200 has 120 divisors (see below), whose sum is σ = 1622963446608. Its totient is φ = 134817546240.

The previous prime is 506107057163. The next prime is 506107057217. The reversal of 506107057200 is 2750701605.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×506107057200² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 899344 + ... + 1349456.

Almost surely, 2^506107057200 is an apocalyptic number.

506107057200 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 506107057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811481723304).

506107057200 is an abundant number, since it is smaller than the sum of its proper divisors (1116856389408).

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

506107057200 is a wasteful number, since it uses less digits than its factorization.

506107057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451071 (or 451060 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

Adding to 506107057200 its reverse (2750701605), we get a palindrome (508857758805).

The spelling of 506107057200 in words is "five hundred six billion, one hundred seven million, fifty-seven thousand, two hundred".