2587438828368 has 60 divisors (see below), whose sum is σ = 7255983185568. Its totient is φ = 860723008320.

The previous prime is 2587438828363. The next prime is 2587438828397. The reversal of 2587438828368 is 8638288347852.

2587438828368 is a `hidden beast` number, since 2 + 5 + 87 + 438 + 82 + 8 + 36 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2587438828296 and 2587438828305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587438828363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18226980 + ... + 18368387.

Almost surely, 2^{2587438828368} is an apocalyptic number.

It is an amenable number.

2587438828368 is an abundant number, since it is smaller than the sum of its proper divisors (4668544357200).

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

2587438828368 is a wasteful number, since it uses less digits than its factorization.

2587438828368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36595872 (or 36595863 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 2587438828368 in words is "two trillion, five hundred eighty-seven billion, four hundred thirty-eight million, eight hundred twenty-eight thousand, three hundred sixty-eight".