5038161120 has 240 divisors, whose sum is σ = 17926368768. Its totient is φ = 1332495360.

The previous prime is 5038161113. The next prime is 5038161131. The reversal of 5038161120 is 211618305.

5038161120 is a `hidden beast` number, since 503 + 81 + 61 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1644390 + ... + 1647450.

Almost surely, 2^5038161120 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 5038161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963184384).

5038161120 is an abundant number, since it is smaller than the sum of its proper divisors (12888207648).

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

5038161120 is a wasteful number, since it uses less digits than its factorization.

5038161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5038161120 is about 70980.0050718510. The cubic root of 5038161120 is about 1714.3152323489.

Adding to 5038161120 its reverse (211618305), we get a palindrome (5249779425).

The spelling of 5038161120 in words is "five billion, thirty-eight million, one hundred sixty-one thousand, one hundred twenty".