5005375872 has 192 divisors, whose sum is σ = 16001290800. Its totient is φ = 1380642816.

The previous prime is 5005375871. The next prime is 5005375919. The reversal of 5005375872 is 2785735005.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005375871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541078 + ... + 550250.

Almost surely, 2^5005375872 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 5005375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000645400).

5005375872 is an abundant number, since it is smaller than the sum of its proper divisors (10995914928).

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

5005375872 is a wasteful number, since it uses less digits than its factorization.

5005375872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The square root of 5005375872 is about 70748.6810619110. The cubic root of 5005375872 is about 1710.5885679584.

The spelling of 5005375872 in words is "five billion, five million, three hundred seventy-five thousand, eight hundred seventy-two".