1587067096680 has 1024 divisors, whose sum is σ = 6197700096000. Its totient is φ = 357744771072.

The previous prime is 1587067096679. The next prime is 1587067096709. The reversal of 1587067096680 is 866907607851.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1376466984 + ... + 1376468136.

It is an arithmetic number, because the mean of its divisors is an integer number (6052441500).

Almost surely, 2^{1587067096680} is an apocalyptic number.

1587067096680 is a gapful number since it is divisible by the number (10) 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 1587067096680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098850048000).

1587067096680 is an abundant number, since it is smaller than the sum of its proper divisors (4610632999320).

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

1587067096680 is a wasteful number, since it uses less digits than its factorization.

1587067096680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1587067096680 in words is "one trillion, five hundred eighty-seven billion, sixty-seven million, ninety-six thousand, six hundred eighty".