1980358560 has 144 divisors (see below), whose sum is σ = 7155589896. Its totient is φ = 497025024.

The previous prime is 1980358547. The next prime is 1980358607. The reversal of 1980358560 is 658530891.

1980358560 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 3 + 585 + 60 = 666.

1980358560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1968164496 + 12194064 = 44364^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15969 + ... + 64928.

Almost surely, 2^1980358560 is an apocalyptic number.

1980358560 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 1980358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577794948).

1980358560 is an abundant number, since it is smaller than the sum of its proper divisors (5175231336).

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

1980358560 is a wasteful number, since it uses less digits than its factorization.

1980358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80935 (or 80924 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1980358560 is about 44501.2197585639. The cubic root of 1980358560 is about 1255.7830301238.

The spelling of 1980358560 in words is "one billion, nine hundred eighty million, three hundred fifty-eight thousand, five hundred sixty".