1980445587120 has 3840 divisors, whose sum is σ = 9900166348800. Its totient is φ = 362125209600.

The previous prime is 1980445587083. The next prime is 1980445587121. The reversal of 1980445587120 is 217855440891.

1980445587120 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 4 + 45 + 587 + 12 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1980445587121) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 29558889327 + ... + 29558889393.

It is an arithmetic number, because the mean of its divisors is an integer number (2578168320).

Almost surely, 2^{1980445587120} is an apocalyptic number.

1980445587120 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 1980445587120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950083174400).

1980445587120 is an abundant number, since it is smaller than the sum of its proper divisors (7919720761680).

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

1980445587120 is a wasteful number, since it uses less digits than its factorization.

1980445587120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1980445587120 in words is "one trillion, nine hundred eighty billion, four hundred forty-five million, five hundred eighty-seven thousand, one hundred twenty".