5059192320 has 960 divisors, whose sum is σ = 22878535680. Its totient is φ = 1003290624.

The previous prime is 5059192289. The next prime is 5059192349. The reversal of 5059192320 is 232919505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 39836097 + ... + 39836223.

It is an arithmetic number, because the mean of its divisors is an integer number (23831808).

Almost surely, 2^5059192320 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 5059192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439267840).

5059192320 is an abundant number, since it is smaller than the sum of its proper divisors (17819343360).

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

5059192320 is a wasteful number, since it uses less digits than its factorization.

5059192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5059192320 is about 71127.9995501068. Note that the first 3 decimals coincide. The cubic root of 5059192320 is about 1716.6973220194.

The spelling of 5059192320 in words is "five billion, fifty-nine million, one hundred ninety-two thousand, three hundred twenty".