1980049132800 has 648 divisors, whose sum is σ = 7637166986904. Its totient is φ = 487564247040.

The previous prime is 1980049132753. The next prime is 1980049132819. The reversal of 1980049132800 is 82319400891.

1980049132800 is a `hidden beast` number, since 1 + 9 + 80 + 0 + 491 + 3 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 46925957376 + 1933123175424 = 216624^2 + 1390368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51878524 + ... + 51916676.

It is an arithmetic number, because the mean of its divisors is an integer number (11785751523).

Almost surely, 2^{1980049132800} is an apocalyptic number.

1980049132800 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 1980049132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818583493452).

1980049132800 is an abundant number, since it is smaller than the sum of its proper divisors (5657117854104).

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

1980049132800 is a wasteful number, since it uses less digits than its factorization.

1980049132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38255 (or 38233 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1980049132800 in words is "one trillion, nine hundred eighty billion, forty-nine million, one hundred thirty-two thousand, eight hundred".