5059242144 has 144 divisors (see below), whose sum is σ = 15721340544. Its totient is φ = 1530547200.

The previous prime is 5059242107. The next prime is 5059242163. The reversal of 5059242144 is 4412429505.

It is a happy number.

5059242144 is a `hidden beast` number, since 5 + 0 + 592 + 4 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 5059242099 and 5059242108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2885172 + ... + 2886924.

It is an arithmetic number, because the mean of its divisors is an integer number (109175976).

Almost surely, 2^5059242144 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 5059242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860670272).

5059242144 is an abundant number, since it is smaller than the sum of its proper divisors (10662098400).

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

5059242144 is a wasteful number, since it uses less digits than its factorization.

5059242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5059242144 is about 71128.3497910643. The cubic root of 5059242144 is about 1716.7029574674.

The spelling of 5059242144 in words is "five billion, fifty-nine million, two hundred forty-two thousand, one hundred forty-four".