1587199242636 has 288 divisors, whose sum is σ = 4962921600000. Its totient is φ = 417508867584.

The previous prime is 1587199242623. The next prime is 1587199242637. The reversal of 1587199242636 is 6362429917851.

1587199242636 is a `hidden beast` number, since 1 + 5 + 87 + 19 + 92 + 426 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1587199242637) 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 95 ways as a sum of consecutive naturals, for example, 162801490 + ... + 162811238.

Almost surely, 2^{1587199242636} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1587199242636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481460800000).

1587199242636 is an abundant number, since it is smaller than the sum of its proper divisors (3375722357364).

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

1587199242636 is a wasteful number, since it uses less digits than its factorization.

1587199242636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741 (or 10736 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 1587199242636 in words is "one trillion, five hundred eighty-seven billion, one hundred ninety-nine million, two hundred forty-two thousand, six hundred thirty-six".