5800193280 has 432 divisors, whose sum is σ = 24289784064. Its totient is φ = 1247477760.

The previous prime is 5800193261. The next prime is 5800193293. The reversal of 5800193280 is 823910085.

It is a Cunningham number, because it is equal to 76159²-1.

It is a super-4 number, since 4×5800193280⁴ (a number of 40 digits) contains 4444 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368765 + ... + 1372995.

It is an arithmetic number, because the mean of its divisors is an integer number (56226352).

Almost surely, 2^5800193280 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 5800193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12144892032).

5800193280 is an abundant number, since it is smaller than the sum of its proper divisors (18489590784).

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

5800193280 is a wasteful number, since it uses less digits than its factorization.

5800193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5800193280 is about 76158.9999934348. Note that the first 5 decimals coincide. The cubic root of 5800193280 is about 1796.7217367673.

The spelling of 5800193280 in words is "five billion, eight hundred million, one hundred ninety-three thousand, two hundred eighty".