42584167504 has 20 divisors (see below), whose sum is σ = 82520598676. Its totient is φ = 21288529152.

The previous prime is 42584167477. The next prime is 42584167547. The reversal of 42584167504 is 40576148524.

It can be written as a sum of positive squares in 2 ways, for example, as 41514877504 + 1069290000 = 203752^2 + 32700^2 .

It is a super-2 number, since 2×42584167504² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121959 + ... + 316294.

Almost surely, 2^42584167504 is an apocalyptic number.

It is an amenable number.

42584167504 is a deficient number, since it is larger than the sum of its proper divisors (39936431172).

42584167504 is a wasteful number, since it uses less digits than its factorization.

42584167504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444334 (or 444328 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 42584167504 in words is "forty-two billion, five hundred eighty-four million, one hundred sixty-seven thousand, five hundred four".