1986130106640 has 160 divisors (see below), whose sum is σ = 6883086061440. Its totient is φ = 526385309184.

The previous prime is 1986130106629. The next prime is 1986130106647. The reversal of 1986130106640 is 466010316891.

1986130106640 is a `hidden beast` number, since 19 + 8 + 613 + 0 + 10 + 6 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1986130106647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2468487 + ... + 3172646.

It is an arithmetic number, because the mean of its divisors is an integer number (43019287884).

Almost surely, 2^{1986130106640} is an apocalyptic number.

1986130106640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1986130106640 is an abundant number, since it is smaller than the sum of its proper divisors (4896955954800).

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

1986130106640 is a wasteful number, since it uses less digits than its factorization.

1986130106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641318 (or 5641306 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1986130106640 in words is "one trillion, nine hundred eighty-six billion, one hundred thirty million, one hundred six thousand, six hundred forty".