505288221984 has 1152 divisors, whose sum is σ = 1938023055360. Its totient is φ = 125187379200.

The previous prime is 505288221973. The next prime is 505288222039. The reversal of 505288221984 is 489122882505.

505288221984 is a `hidden beast` number, since 5 + 0 + 528 + 8 + 2 + 21 + 98 + 4 = 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 505288221984.

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 191 ways as a sum of consecutive naturals, for example, 1172362249 + ... + 1172362679.

It is an arithmetic number, because the mean of its divisors is an integer number (1682311680).

Almost surely, 2^505288221984 is an apocalyptic number.

505288221984 is a gapful number since it is divisible by the number (54) 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 505288221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969011527680).

505288221984 is an abundant number, since it is smaller than the sum of its proper divisors (1432734833376).

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

505288221984 is a wasteful number, since it uses less digits than its factorization.

505288221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 505288221984 in words is "five hundred five billion, two hundred eighty-eight million, two hundred twenty-one thousand, nine hundred eighty-four".