1587815685120 has 352 divisors, whose sum is σ = 5855441338368. Its totient is φ = 359714783232.

The previous prime is 1587815685061. The next prime is 1587815685121. The reversal of 1587815685120 is 215865187851.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587815685121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12084417 + ... + 12215103.

Almost surely, 2^{1587815685120} is an apocalyptic number.

1587815685120 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 1587815685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927720669184).

1587815685120 is an abundant number, since it is smaller than the sum of its proper divisors (4267625653248).

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

1587815685120 is a wasteful number, since it uses less digits than its factorization.

1587815685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130835 (or 130817 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 57.

The spelling of 1587815685120 in words is "one trillion, five hundred eighty-seven billion, eight hundred fifteen million, six hundred eighty-five thousand, one hundred twenty".