53120080 has 60 divisors (see below), whose sum is σ = 133769340. Its totient is φ = 19608576.

The previous prime is 53120033. The next prime is 53120099. The reversal of 53120080 is 8002135.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20034576 + 33085504 = 4476^2 + 5752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11556 + ... + 15484.

It is an arithmetic number, because the mean of its divisors is an integer number (2229489).

Almost surely, 2^53120080 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 53120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66884670).

53120080 is an abundant number, since it is smaller than the sum of its proper divisors (80649260).

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

53120080 is a wasteful number, since it uses less digits than its factorization.

53120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 53120080 is about 7288.3523515264. The cubic root of 53120080 is about 375.9120437088.

The spelling of 53120080 in words is "fifty-three million, one hundred twenty thousand, eighty".