1987362000000 has 1792 divisors, whose sum is σ = 8367080400000. Its totient is φ = 460339200000.

The previous prime is 1987361999989. The next prime is 1987362000007. The reversal of 1987362000000 is 2637891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1987362000007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13337999926 + ... + 13338000074.

Almost surely, 2^{1987362000000} is an apocalyptic number.

1987362000000 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 1987362000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183540200000).

1987362000000 is an abundant number, since it is smaller than the sum of its proper divisors (6379718400000).

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

1987362000000 is an equidigital number, since it uses as much as digits as its factorization.

1987362000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 1987362000000 its reverse (2637891), we get a palindrome (1987364637891).

The spelling of 1987362000000 in words is "one trillion, nine hundred eighty-seven billion, three hundred sixty-two million", and thus it is an aban number.