505084779360 has 1440 divisors, whose sum is σ = 2238114019680. Its totient is φ = 106599628800.

The previous prime is 505084779347. The next prime is 505084779391. The reversal of 505084779360 is 63977480505.

505084779360 is a `hidden beast` number, since 5 + 0 + 508 + 4 + 7 + 79 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×505084779360² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 505084779297 and 505084779306.

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 239 ways as a sum of consecutive naturals, for example, 494695650 + ... + 494696670.

It is an arithmetic number, because the mean of its divisors is an integer number (1554245847).

Almost surely, 2^505084779360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505084779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119057009840).

505084779360 is an abundant number, since it is smaller than the sum of its proper divisors (1733029240320).

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

505084779360 is a wasteful number, since it uses less digits than its factorization.

505084779360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 505084779360 in words is "five hundred five billion, eighty-four million, seven hundred seventy-nine thousand, three hundred sixty".