1987285800384 has 224 divisors, whose sum is σ = 6038690284800. Its totient is φ = 640523566080.

The previous prime is 1987285800349. The next prime is 1987285800439. The reversal of 1987285800384 is 4830085827891.

1987285800384 is a `hidden beast` number, since 19 + 8 + 7 + 2 + 8 + 580 + 0 + 38 + 4 = 666.

It is a super-3 number, since 3×1987285800384³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6059299 + ... + 6378845.

Almost surely, 2^{1987285800384} 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 1987285800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019345142400).

1987285800384 is an abundant number, since it is smaller than the sum of its proper divisors (4051404484416).

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

1987285800384 is a wasteful number, since it uses less digits than its factorization.

1987285800384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319688 (or 319672 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 1987285800384 in words is "one trillion, nine hundred eighty-seven billion, two hundred eighty-five million, eight hundred thousand, three hundred eighty-four".