1986755645952 has 480 divisors, whose sum is σ = 7283723990400. Its totient is φ = 506299023360.

The previous prime is 1986755645929. The next prime is 1986755646013. The reversal of 1986755645952 is 2595465576891.

1986755645952 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 7 + 5 + 564 + 5 + 9 + 52 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 18752424 + ... + 18858072.

It is an arithmetic number, because the mean of its divisors is an integer number (15174424980).

Almost surely, 2^{1986755645952} is an apocalyptic number.

1986755645952 is a gapful number since it is divisible by the number (12) 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 1986755645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641861995200).

1986755645952 is an abundant number, since it is smaller than the sum of its proper divisors (5296968344448).

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

1986755645952 is a wasteful number, since it uses less digits than its factorization.

1986755645952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105744 (or 105725 counting only the distinct ones).

The product of its digits is 816480000, while the sum is 72.

The spelling of 1986755645952 in words is "one trillion, nine hundred eighty-six billion, seven hundred fifty-five million, six hundred forty-five thousand, nine hundred fifty-two".