5008461120 has 896 divisors, whose sum is σ = 20953658880. Its totient is φ = 1114767360.

The previous prime is 5008461109. The next prime is 5008461121. The reversal of 5008461120 is 211648005.

5008461120 is a `hidden beast` number, since 500 + 8 + 46 + 112 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008461121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82105890 + ... + 82105950.

It is an arithmetic number, because the mean of its divisors is an integer number (23385780).

Almost surely, 2^5008461120 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 5008461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476829440).

5008461120 is an abundant number, since it is smaller than the sum of its proper divisors (15945197760).

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

5008461120 is a wasteful number, since it uses less digits than its factorization.

5008461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5008461120 is about 70770.4819822502. The cubic root of 5008461120 is about 1710.9399572192.

The spelling of 5008461120 in words is "five billion, eight million, four hundred sixty-one thousand, one hundred twenty".