505583583048 has 96 divisors (see below), whose sum is σ = 1395674280000. Its totient is φ = 165293463168.

The previous prime is 505583582983. The next prime is 505583583049. The reversal of 505583583048 is 840385385505.

It is a happy number.

505583583048 is a `hidden beast` number, since 5 + 0 + 5 + 58 + 3 + 583 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×505583583048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505583582985 and 505583583003.

It is not an unprimeable number, because it can be changed into a prime (505583583049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1729318 + ... + 2000426.

It is an arithmetic number, because the mean of its divisors is an integer number (14538273750).

Almost surely, 2^505583583048 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 505583583048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697837140000).

505583583048 is an abundant number, since it is smaller than the sum of its proper divisors (890090696952).

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

505583583048 is a wasteful number, since it uses less digits than its factorization.

505583583048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271619 (or 271612 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 505583583048 in words is "five hundred five billion, five hundred eighty-three million, five hundred eighty-three thousand, forty-eight".