505757564928 has 768 divisors, whose sum is σ = 1932735168000. Its totient is φ = 126835752960.

The previous prime is 505757564911. The next prime is 505757564951. The reversal of 505757564928 is 829465757505.

505757564928 is a `hidden beast` number, since 5 + 0 + 5 + 75 + 75 + 6 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17439916018 + ... + 17439916046.

It is an arithmetic number, because the mean of its divisors is an integer number (2516582250).

Almost surely, 2^505757564928 is an apocalyptic number.

505757564928 is a gapful number since it is divisible by the number (58) 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 505757564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966367584000).

505757564928 is an abundant number, since it is smaller than the sum of its proper divisors (1426977603072).

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

505757564928 is an frugal number, since it uses more digits than its factorization.

505757564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 505757564928 in words is "five hundred five billion, seven hundred fifty-seven million, five hundred sixty-four thousand, nine hundred twenty-eight".