1986880754880 has 672 divisors, whose sum is σ = 7944478863360. Its totient is φ = 446374748160.

The previous prime is 1986880754839. The next prime is 1986880754893. The reversal of 1986880754880 is 884570886891.

1986880754880 is a `hidden beast` number, since 1 + 9 + 8 + 68 + 80 + 7 + 5 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1986880754880² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1986880754799 and 1986880754808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 730738161 + ... + 730740879.

Almost surely, 2^{1986880754880} is an apocalyptic number.

1986880754880 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 1986880754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972239431680).

1986880754880 is an abundant number, since it is smaller than the sum of its proper divisors (5957598108480).

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

1986880754880 is a wasteful number, since it uses less digits than its factorization.

1986880754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 1986880754880 in words is "one trillion, nine hundred eighty-six billion, eight hundred eighty million, seven hundred fifty-four thousand, eight hundred eighty".