506202422400 has 576 divisors, whose sum is σ = 1888376755200. Its totient is φ = 128961331200.

The previous prime is 506202422339. The next prime is 506202422417. The reversal of 506202422400 is 4224202605.

It is a happy number.

506202422400 is a `hidden beast` number, since 50 + 6 + 202 + 4 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 70527612 + ... + 70534788.

Almost surely, 2^506202422400 is an apocalyptic number.

506202422400 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 506202422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944188377600).

506202422400 is an abundant number, since it is smaller than the sum of its proper divisors (1382174332800).

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

506202422400 is a wasteful number, since it uses less digits than its factorization.

506202422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 506202422400 in words is "five hundred six billion, two hundred two million, four hundred twenty-two thousand, four hundred".