1987200000 has 528 divisors, whose sum is σ = 7675758720. Its totient is φ = 506880000.

The previous prime is 1987199957. The next prime is 1987200071. The reversal of 1987200000 is 27891.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86399989 + ... + 86400011.

Almost surely, 2^1987200000 is an apocalyptic number.

1987200000 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 1987200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837879360).

1987200000 is an abundant number, since it is smaller than the sum of its proper divisors (5688558720).

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

1987200000 is an frugal number, since it uses more digits than its factorization.

1987200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1987200000 is about 44578.0214904161. The cubic root of 1987200000 is about 1257.2274638060.

Adding to 1987200000 its reverse (27891), we get a palindrome (1987227891).

The spelling of 1987200000 in words is "one billion, nine hundred eighty-seven million, two hundred thousand".