505882069056 has 672 divisors, whose sum is σ = 1948852673280. Its totient is φ = 125562617856.

The previous prime is 505882068983. The next prime is 505882069109. The reversal of 505882069056 is 650960288505.

505882069056 is a `hidden beast` number, since 5 + 0 + 588 + 2 + 0 + 6 + 9 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×505882069056² (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 = 505882068993 and 505882069011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34744530 + ... + 34759086.

Almost surely, 2^505882069056 is an apocalyptic number.

505882069056 is a gapful number since it is divisible by the number (56) 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 505882069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974426336640).

505882069056 is an abundant number, since it is smaller than the sum of its proper divisors (1442970604224).

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

505882069056 is a wasteful number, since it uses less digits than its factorization.

505882069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14628 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 505882069056 in words is "five hundred five billion, eight hundred eighty-two million, sixty-nine thousand, fifty-six".