506400288053184 has 196 divisors, whose sum is σ = 1721877582556464. Its totient is φ = 144685796493312.

The previous prime is 506400288053167. The next prime is 506400288053227. The reversal of 506400288053184 is 481350882004605.

506400288053184 is a `hidden beast` number, since 5 + 0 + 6 + 4 + 0 + 0 + 28 + 8 + 0 + 531 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 506400288053184.

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 27 ways as a sum of consecutive naturals, for example, 774953097 + ... + 775606280.

Almost surely, 2^{506400288053184} is an apocalyptic number.

506400288053184 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

506400288053184 is an abundant number, since it is smaller than the sum of its proper divisors (1215477294503280).

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

506400288053184 is an equidigital number, since it uses as much as digits as its factorization.

506400288053184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550559414 (or 1550559389 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 506400288053184 in words is "five hundred six trillion, four hundred billion, two hundred eighty-eight million, fifty-three thousand, one hundred eighty-four".