506047651200 has 1152 divisors, whose sum is σ = 2292363993600. Its totient is φ = 106748928000.

The previous prime is 506047651177. The next prime is 506047651231. The reversal of 506047651200 is 2156740605.

It is a happy number.

506047651200 is a `hidden beast` number, since 5 + 0 + 60 + 476 + 5 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×506047651200² (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102208725 + ... + 102213675.

It is an arithmetic number, because the mean of its divisors is an integer number (1989899300).

Almost surely, 2^506047651200 is an apocalyptic number.

506047651200 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 506047651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146181996800).

506047651200 is an abundant number, since it is smaller than the sum of its proper divisors (1786316342400).

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

506047651200 is a wasteful number, since it uses less digits than its factorization.

506047651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 506047651200 in words is "five hundred six billion, forty-seven million, six hundred fifty-one thousand, two hundred".