5797905120 has 288 divisors, whose sum is σ = 23164989120. Its totient is φ = 1292820480.

The previous prime is 5797905109. The next prime is 5797905133. The reversal of 5797905120 is 215097975.

5797905120 is a `hidden beast` number, since 579 + 7 + 9 + 0 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406266 + ... + 420294.

It is an arithmetic number, because the mean of its divisors is an integer number (80433990).

Almost surely, 2^5797905120 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 5797905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582494560).

5797905120 is an abundant number, since it is smaller than the sum of its proper divisors (17367084000).

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

5797905120 is a wasteful number, since it uses less digits than its factorization.

5797905120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098 (or 14087 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 5797905120 is about 76143.9762555122. The cubic root of 5797905120 is about 1796.4854384610.

The spelling of 5797905120 in words is "five billion, seven hundred ninety-seven million, nine hundred five thousand, one hundred twenty".