1986872405760 has 720 divisors, whose sum is σ = 7769693352960. Its totient is φ = 480797614080.

The previous prime is 1986872405753. The next prime is 1986872405857. The reversal of 1986872405760 is 675042786891.

1986872405760 is a `hidden beast` number, since 1 + 9 + 86 + 87 + 2 + 405 + 76 + 0 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 820003909 + ... + 820006331.

It is an arithmetic number, because the mean of its divisors is an integer number (10791240768).

Almost surely, 2^{1986872405760} is an apocalyptic number.

1986872405760 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 1986872405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884846676480).

1986872405760 is an abundant number, since it is smaller than the sum of its proper divisors (5782820947200).

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

1986872405760 is a wasteful number, since it uses less digits than its factorization.

1986872405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1986872405760 in words is "one trillion, nine hundred eighty-six billion, eight hundred seventy-two million, four hundred five thousand, seven hundred sixty".