3087260027712 has 504 divisors, whose sum is σ = 10650226209792. Its totient is φ = 851664844800.

The previous prime is 3087260027699. The next prime is 3087260027723. The reversal of 3087260027712 is 2177200627803.

3087260027712 is a `hidden beast` number, since 3 + 0 + 8 + 7 + 2 + 600 + 27 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 405095262 + ... + 405102882.

Almost surely, 2^{3087260027712} is an apocalyptic number.

3087260027712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3087260027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325113104896).

3087260027712 is an abundant number, since it is smaller than the sum of its proper divisors (7562966182080).

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

3087260027712 is a wasteful number, since it uses less digits than its factorization.

3087260027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 3087260027712 in words is "three trillion, eighty-seven billion, two hundred sixty million, twenty-seven thousand, seven hundred twelve".