5800097160 has 384 divisors, whose sum is σ = 22521058560. Its totient is φ = 1275955200.

The previous prime is 5800097137. The next prime is 5800097201. The reversal of 5800097160 is 617900085.

5800097160 is a `hidden beast` number, since 580 + 0 + 0 + 9 + 71 + 6 + 0 = 666.

It is a super-2 number, since 2×5800097160² = 67282254130880131200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3139357 + ... + 3141203.

It is an arithmetic number, because the mean of its divisors is an integer number (58648590).

Almost surely, 2^5800097160 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 5800097160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260529280).

5800097160 is an abundant number, since it is smaller than the sum of its proper divisors (16720961400).

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

5800097160 is a wasteful number, since it uses less digits than its factorization.

5800097160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5800097160 is about 76158.3689426185. The cubic root of 5800097160 is about 1796.7118117046.

The spelling of 5800097160 in words is "five billion, eight hundred million, ninety-seven thousand, one hundred sixty".