1587838338009 has 144 divisors (see below), whose sum is σ = 3102461481600. Its totient is φ = 771114193920.

The previous prime is 1587838337999. The next prime is 1587838338061. The reversal of 1587838338009 is 9008338387851.

1587838338009 is a `hidden beast` number, since 158 + 78 + 38 + 3 + 380 + 0 + 9 = 666.

It is not a de Polignac number, because 1587838338009 - 2¹⁵ = 1587838305241 is a prime.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (1587838330009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12222972 + ... + 12352194.

It is an arithmetic number, because the mean of its divisors is an integer number (21544871400).

Almost surely, 2^{1587838338009} is an apocalyptic number.

It is an amenable number.

1587838338009 is a deficient number, since it is larger than the sum of its proper divisors (1514623143591).

1587838338009 is a wasteful number, since it uses less digits than its factorization.

1587838338009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129420 (or 129410 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1587838338009 in words is "one trillion, five hundred eighty-seven billion, eight hundred thirty-eight million, three hundred thirty-eight thousand, nine".