1587011261472 has 1296 divisors, whose sum is σ = 6175807976520. Its totient is φ = 382811111424.

The previous prime is 1587011261441. The next prime is 1587011261497. The reversal of 1587011261472 is 2741621107851.

1587011261472 is a `hidden beast` number, since 1 + 5 + 8 + 7 + 0 + 112 + 61 + 472 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1029486212496 + 557525048976 = 1014636^2 + 746676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1961694604 + ... + 1961695412.

Almost surely, 2^{1587011261472} is an apocalyptic number.

1587011261472 is a gapful number since it is divisible by the number (12) 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 1587011261472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087903988260).

1587011261472 is an abundant number, since it is smaller than the sum of its proper divisors (4588796715048).

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

1587011261472 is a wasteful number, since it uses less digits than its factorization.

1587011261472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1587011261472 in words is "one trillion, five hundred eighty-seven billion, eleven million, two hundred sixty-one thousand, four hundred seventy-two".