505136564928 has 336 divisors, whose sum is σ = 1605657834144. Its totient is φ = 156896870400.

The previous prime is 505136564879. The next prime is 505136564951. The reversal of 505136564928 is 829465631505.

505136564928 is a `hidden beast` number, since 5 + 0 + 51 + 3 + 6 + 564 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26693326 + ... + 26712242.

It is an arithmetic number, because the mean of its divisors is an integer number (4778743554).

Almost surely, 2^505136564928 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 505136564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802828917072).

505136564928 is an abundant number, since it is smaller than the sum of its proper divisors (1100521269216).

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

505136564928 is a wasteful number, since it uses less digits than its factorization.

505136564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19062 (or 19040 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 505136564928 in words is "five hundred five billion, one hundred thirty-six million, five hundred sixty-four thousand, nine hundred twenty-eight".