42872600283264 has 96 divisors (see below), whose sum is σ = 123378397775100. Its totient is φ = 14289937219584.

The previous prime is 42872600283229. The next prime is 42872600283269. The reversal of 42872600283264 is 46238200627824.

42872600283264 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 2 + 600 + 2 + 8 + 3 + 26 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42779448360000 + 93151923264 = 6540600^2 + 305208^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 42872600283264.

It is not an unprimeable number, because it can be changed into a prime (42872600283269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16622292 + ... + 19027500.

Almost surely, 2^{42872600283264} is an apocalyptic number.

It is an amenable number.

42872600283264 is an abundant number, since it is smaller than the sum of its proper divisors (80505797491836).

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

42872600283264 is a wasteful number, since it uses less digits than its factorization.

42872600283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420702 (or 2420687 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 42872600283264 in words is "forty-two trillion, eight hundred seventy-two billion, six hundred million, two hundred eighty-three thousand, two hundred sixty-four".