1980382003200 has 720 divisors, whose sum is σ = 7311319059520. Its totient is φ = 525533184000.

The previous prime is 1980382003183. The next prime is 1980382003207. The reversal of 1980382003200 is 23002830891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980382003207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3660594930 + ... + 3660595470.

Almost surely, 2^{1980382003200} is an apocalyptic number.

1980382003200 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 1980382003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655659529760).

1980382003200 is an abundant number, since it is smaller than the sum of its proper divisors (5330937056320).

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

1980382003200 is an equidigital number, since it uses as much as digits as its factorization.

1980382003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1980382003200 in words is "one trillion, nine hundred eighty billion, three hundred eighty-two million, three thousand, two hundred".