505864510272 has 252 divisors, whose sum is σ = 1598928747780. Its totient is φ = 152795934720.

The previous prime is 505864510259. The next prime is 505864510301. The reversal of 505864510272 is 272015468505.

505864510272 is a `hidden beast` number, since 5 + 0 + 5 + 8 + 64 + 510 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98034114816 + 407830395456 = 313104^2 + 638616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21803254 + ... + 21826442.

Almost surely, 2^505864510272 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 505864510272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799464373890).

505864510272 is an abundant number, since it is smaller than the sum of its proper divisors (1093064237508).

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

505864510272 is a wasteful number, since it uses less digits than its factorization.

505864510272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23542 (or 23518 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

Adding to 505864510272 its reverse (272015468505), we get a palindrome (777879978777).

The spelling of 505864510272 in words is "five hundred five billion, eight hundred sixty-four million, five hundred ten thousand, two hundred seventy-two".