5005285125120 has 440 divisors, whose sum is σ = 20498425526304. Its totient is φ = 1144064507904.

The previous prime is 5005285125119. The next prime is 5005285125157. The reversal of 5005285125120 is 215215825005.

5005285125120 is a `hidden beast` number, since 5 + 0 + 0 + 52 + 85 + 12 + 512 + 0 = 666.

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

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, 2040964 + ... + 3765116.

Almost surely, 2^{5005285125120} 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 5005285125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249212763152).

5005285125120 is an abundant number, since it is smaller than the sum of its proper divisors (15493140401184).

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

5005285125120 is a wasteful number, since it uses less digits than its factorization.

5005285125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724197 (or 1724170 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 5005285125120 in words is "five trillion, five billion, two hundred eighty-five million, one hundred twenty-five thousand, one hundred twenty".