505355544004000 has 48 divisors (see below), whose sum is σ = 1241658571627656. Its totient is φ = 202142217600000.

The previous prime is 505355544003991. The next prime is 505355544004037. The reversal of 505355544004000 is 400445553505.

It can be written as a sum of positive squares in 4 ways, for example, as 187309552187664 + 318045991816336 = 13686108^2 + 17833844^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63169439001 + ... + 63169447000.

Almost surely, 2^{505355544004000} is an apocalyptic number.

505355544004000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505355544004000 is an abundant number, since it is smaller than the sum of its proper divisors (736303027623656).

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

505355544004000 is a wasteful number, since it uses less digits than its factorization.

505355544004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126338886026 (or 126338886008 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 40.

Adding to 505355544004000 its reverse (400445553505), we get a palindrome (505755989557505).

The spelling of 505355544004000 in words is "five hundred five trillion, three hundred fifty-five billion, five hundred forty-four million, four thousand".