505536766875 has 240 divisors, whose sum is σ = 1126788062400. Its totient is φ = 217494144000.

The previous prime is 505536766849. The next prime is 505536766907. The reversal of 505536766875 is 578667635505.

It is a happy number.

505536766875 is a `hidden beast` number, since 5 + 0 + 553 + 6 + 7 + 6 + 6 + 8 + 75 = 666.

It is not a de Polignac number, because 505536766875 - 2²⁰ = 505535718299 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32791669 + ... + 32807081.

It is an arithmetic number, because the mean of its divisors is an integer number (4694950260).

Almost surely, 2^505536766875 is an apocalyptic number.

505536766875 is an abundant number, since it is smaller than the sum of its proper divisors (621251295525).

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

505536766875 is a wasteful number, since it uses less digits than its factorization.

505536766875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15477 (or 15445 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 505536766875 in words is "five hundred five billion, five hundred thirty-six million, seven hundred sixty-six thousand, eight hundred seventy-five".