505622869920 has 2304 divisors, whose sum is σ = 2345583744000. Its totient is φ = 100824514560.

The previous prime is 505622869919. The next prime is 505622869931. The reversal of 505622869920 is 29968226505.

505622869920 is a `hidden beast` number, since 5 + 0 + 5 + 622 + 8 + 6 + 9 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×505622869920² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3393442006 + ... + 3393442154.

It is an arithmetic number, because the mean of its divisors is an integer number (1018048500).

Almost surely, 2^505622869920 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 505622869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172791872000).

505622869920 is an abundant number, since it is smaller than the sum of its proper divisors (1839960874080).

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

505622869920 is a wasteful number, since it uses less digits than its factorization.

505622869920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 505622869920 in words is "five hundred five billion, six hundred twenty-two million, eight hundred sixty-nine thousand, nine hundred twenty".