1986446851200 has 3072 divisors, whose sum is σ = 9199811174400. Its totient is φ = 413857382400.

The previous prime is 1986446851189. The next prime is 1986446851231. The reversal of 1986446851200 is 21586446891.

1986446851200 is a `hidden beast` number, since 1 + 9 + 8 + 64 + 4 + 68 + 512 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 46196438379 + ... + 46196438421.

It is an arithmetic number, because the mean of its divisors is an integer number (2994730200).

Almost surely, 2^{1986446851200} is an apocalyptic number.

1986446851200 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 1986446851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599905587200).

1986446851200 is an abundant number, since it is smaller than the sum of its proper divisors (7213364323200).

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

1986446851200 is an equidigital number, since it uses as much as digits as its factorization.

1986446851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1986446851200 in words is "one trillion, nine hundred eighty-six billion, four hundred forty-six million, eight hundred fifty-one thousand, two hundred".