505775899728 has 240 divisors, whose sum is σ = 1557866022336. Its totient is φ = 151910184960.

The previous prime is 505775899723. The next prime is 505775899771. The reversal of 505775899728 is 827998577505.

505775899728 is a `hidden beast` number, since 505 + 7 + 7 + 5 + 8 + 9 + 97 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505775899723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83776326 + ... + 83782362.

Almost surely, 2^505775899728 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 505775899728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778933011168).

505775899728 is an abundant number, since it is smaller than the sum of its proper divisors (1052090122608).

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

505775899728 is a wasteful number, since it uses less digits than its factorization.

505775899728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522 (or 6513 counting only the distinct ones).

The product of its (nonzero) digits is 444528000, while the sum is 72.

The spelling of 505775899728 in words is "five hundred five billion, seven hundred seventy-five million, eight hundred ninety-nine thousand, seven hundred twenty-eight".