1987020000 has 720 divisors, whose sum is σ = 8596748160. Its totient is φ = 425088000.

The previous prime is 1987019977. The next prime is 1987020037. The reversal of 1987020000 is 207891.

1987020000 = 100³ + 101³ + ... + 299³.

1987020000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23939959 + ... + 23940041.

It is an arithmetic number, because the mean of its divisors is an integer number (11939928).

Almost surely, 2^1987020000 is an apocalyptic number.

1987020000 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 1987020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298374080).

1987020000 is an abundant number, since it is smaller than the sum of its proper divisors (6609728160).

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

1987020000 is a wasteful number, since it uses less digits than its factorization.

1987020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

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

The square root of 1987020000 is about 44576.0025125627. The cubic root of 1987020000 is about 1257.1895028934.

Adding to 1987020000 its reverse (207891), we get a palindrome (1987227891).

The spelling of 1987020000 in words is "one billion, nine hundred eighty-seven million, twenty thousand".