5035405120 has 56 divisors (see below), whose sum is σ = 12020766408. Its totient is φ = 2009088000.

The previous prime is 5035405103. The next prime is 5035405139. The reversal of 5035405120 is 215045305.

It can be written as a sum of positive squares in 4 ways, for example, as 1278205504 + 3757199616 = 35752^2 + 61296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108700 + ... + 147940.

It is an arithmetic number, because the mean of its divisors is an integer number (214656543).

Almost surely, 2^5035405120 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 5035405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010383204).

5035405120 is an abundant number, since it is smaller than the sum of its proper divisors (6985361288).

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

5035405120 is a wasteful number, since it uses less digits than its factorization.

5035405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39659 (or 39649 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5035405120 is about 70960.5884981234. The cubic root of 5035405120 is about 1714.0025842463.

The spelling of 5035405120 in words is "five billion, thirty-five million, four hundred five thousand, one hundred twenty".