505733840072 has 64 divisors (see below), whose sum is σ = 1018461133440. Its totient is φ = 234573696000.

The previous prime is 505733839973. The next prime is 505733840167. The reversal of 505733840072 is 270048337505.

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 15 ways as a sum of consecutive naturals, for example, 55044263 + ... + 55053449.

It is an arithmetic number, because the mean of its divisors is an integer number (15913455210).

Almost surely, 2^505733840072 is an apocalyptic number.

It is an amenable number.

505733840072 is an abundant number, since it is smaller than the sum of its proper divisors (512727293368).

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

505733840072 is a wasteful number, since it uses less digits than its factorization.

505733840072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14982 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 505733840072 in words is "five hundred five billion, seven hundred thirty-three million, eight hundred forty thousand, seventy-two".