1987341946560 has 896 divisors, whose sum is σ = 7396406035200. Its totient is φ = 507915878400.

The previous prime is 1987341946543. The next prime is 1987341946627. The reversal of 1987341946560 is 656491437891.

1987341946560 is a `hidden beast` number, since 1 + 9 + 8 + 73 + 41 + 9 + 465 + 60 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3673459890 + ... + 3673460430.

It is an arithmetic number, because the mean of its divisors is an integer number (8254917450).

Almost surely, 2^{1987341946560} is an apocalyptic number.

1987341946560 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 1987341946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698203017600).

1987341946560 is an abundant number, since it is smaller than the sum of its proper divisors (5409064088640).

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

1987341946560 is an equidigital number, since it uses as much as digits as its factorization.

1987341946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1987341946560 in words is "one trillion, nine hundred eighty-seven billion, three hundred forty-one million, nine hundred forty-six thousand, five hundred sixty".