505583582988 has 96 divisors (see below), whose sum is σ = 1368594178560. Its totient is φ = 143565143040.

The previous prime is 505583582983. The next prime is 505583583049. The reversal of 505583582988 is 889285385505.

It is a super-2 number, since 2×505583582988² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (505583582983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21945 + ... + 1005807.

It is an arithmetic number, because the mean of its divisors is an integer number (14256189360).

Almost surely, 2^505583582988 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 505583582988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684297089280).

505583582988 is an abundant number, since it is smaller than the sum of its proper divisors (863010595572).

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

505583582988 is a wasteful number, since it uses less digits than its factorization.

505583582988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984127 (or 984125 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 66.

The spelling of 505583582988 in words is "five hundred five billion, five hundred eighty-three million, five hundred eighty-two thousand, nine hundred eighty-eight".