1990978773312 has 224 divisors, whose sum is σ = 5484721600512. Its totient is φ = 636996530176.

The previous prime is 1990978773271. The next prime is 1990978773313. The reversal of 1990978773312 is 2133778790991.

It is a happy number.

It is a super-3 number, since 3×1990978773312³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990978773313) 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, 102602203 + ... + 102621605.

It is an arithmetic number, because the mean of its divisors is an integer number (24485364288).

Almost surely, 2^{1990978773312} is an apocalyptic number.

1990978773312 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 1990978773312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742360800256).

1990978773312 is an abundant number, since it is smaller than the sum of its proper divisors (3493742827200).

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

1990978773312 is a wasteful number, since it uses less digits than its factorization.

1990978773312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19685 (or 19675 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 66.

The spelling of 1990978773312 in words is "one trillion, nine hundred ninety billion, nine hundred seventy-eight million, seven hundred seventy-three thousand, three hundred twelve".