5053842144 has 288 divisors, whose sum is σ = 16504435584. Its totient is φ = 1453178880.

The previous prime is 5053842121. The next prime is 5053842169. The reversal of 5053842144 is 4412483505.

It is a happy number.

5053842144 is a `hidden beast` number, since 505 + 3 + 8 + 4 + 2 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5053842099 and 5053842108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17248462 + ... + 17248754.

It is an arithmetic number, because the mean of its divisors is an integer number (57307068).

Almost surely, 2^5053842144 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 5053842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252217792).

5053842144 is an abundant number, since it is smaller than the sum of its proper divisors (11450593440).

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

5053842144 is a wasteful number, since it uses less digits than its factorization.

5053842144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5053842144 is about 71090.3801087039. The cubic root of 5053842144 is about 1716.0919637088.

It can be divided in two parts, 505384 and 2144, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 5053842144 in words is "five billion, fifty-three million, eight hundred forty-two thousand, one hundred forty-four".