506475651600 has 180 divisors, whose sum is σ = 1759232927556. Its totient is φ = 134935557120.

The previous prime is 506475651559. The next prime is 506475651629. The reversal of 506475651600 is 6156574605.

506475651600 is a `hidden beast` number, since 5 + 0 + 64 + 75 + 6 + 516 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21842475264 + 484633176336 = 147792^2 + 696156^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3870442 + ... + 3999158.

Almost surely, 2^506475651600 is an apocalyptic number.

506475651600 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 506475651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879616463778).

506475651600 is an abundant number, since it is smaller than the sum of its proper divisors (1252757275956).

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

506475651600 is a wasteful number, since it uses less digits than its factorization.

506475651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129834 (or 129820 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 506475651600 in words is "five hundred six billion, four hundred seventy-five million, six hundred fifty-one thousand, six hundred".