1980168120 has 448 divisors, whose sum is σ = 7790904000. Its totient is φ = 443418624.

The previous prime is 1980168119. The next prime is 1980168133. The reversal of 1980168120 is 218610891.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18166626 + ... + 18166734.

Almost surely, 2^1980168120 is an apocalyptic number.

1980168120 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 1980168120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895452000).

1980168120 is an abundant number, since it is smaller than the sum of its proper divisors (5810735880).

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

1980168120 is a wasteful number, since it uses less digits than its factorization.

1980168120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1980168120 is about 44499.0799904897. The cubic root of 1980168120 is about 1255.7427749580.

The spelling of 1980168120 in words is "one billion, nine hundred eighty million, one hundred sixty-eight thousand, one hundred twenty".