1988366268672 has 360 divisors, whose sum is σ = 6790682074176. Its totient is φ = 566868824064.

The previous prime is 1988366268607. The next prime is 1988366268689. The reversal of 1988366268672 is 2768626638891.

1988366268672 is a `hidden beast` number, since 198 + 8 + 366 + 2 + 6 + 8 + 6 + 72 = 666.

It is a super-2 number, since 2×1988366268672² (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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1988366268672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67771318 + ... + 67800650.

Almost surely, 2^{1988366268672} is an apocalyptic number.

1988366268672 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 1988366268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395341037088).

1988366268672 is an abundant number, since it is smaller than the sum of its proper divisors (4802315805504).

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

1988366268672 is an equidigital number, since it uses as much as digits as its factorization.

1988366268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29835 (or 29812 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 1988366268672 in words is "one trillion, nine hundred eighty-eight billion, three hundred sixty-six million, two hundred sixty-eight thousand, six hundred seventy-two".