5802981120 has 216 divisors, whose sum is σ = 20148697296. Its totient is φ = 1541996544.

The previous prime is 5802981073. The next prime is 5802981133. The reversal of 5802981120 is 211892085.

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 23 ways as a sum of consecutive naturals, for example, 4065847 + ... + 4067273.

It is an arithmetic number, because the mean of its divisors is an integer number (93281006).

Almost surely, 2^5802981120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5802981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10074348648).

5802981120 is an abundant number, since it is smaller than the sum of its proper divisors (14345716176).

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

5802981120 is a wasteful number, since it uses less digits than its factorization.

5802981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5802981120 is about 76177.3005560055. The cubic root of 5802981120 is about 1797.0095530627.

The spelling of 5802981120 in words is "five billion, eight hundred two million, nine hundred eighty-one thousand, one hundred twenty".