5059106790192 has 480 divisors, whose sum is σ = 18117547069440. Its totient is φ = 1281925232640.

The previous prime is 5059106790097. The next prime is 5059106790209. The reversal of 5059106790192 is 2910976019505.

It is a super-2 number, since 2×5059106790192² (a number of 26 digits) contains 22 as substring.

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, 56420338 + ... + 56509934.

It is an arithmetic number, because the mean of its divisors is an integer number (37744889728).

Almost surely, 2^{5059106790192} is an apocalyptic number.

5059106790192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5059106790192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9058773534720).

5059106790192 is an abundant number, since it is smaller than the sum of its proper divisors (13058440279248).

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

5059106790192 is a wasteful number, since it uses less digits than its factorization.

5059106790192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89801 (or 89792 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 5059106790192 in words is "five trillion, fifty-nine billion, one hundred six million, seven hundred ninety thousand, one hundred ninety-two".