5175528960 has 480 divisors, whose sum is σ = 20404185120. Its totient is φ = 1112014848.

The previous prime is 5175528899. The next prime is 5175528989. The reversal of 5175528960 is 698255715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5175528960² = 53572200031597363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6397036 + ... + 6397844.

It is an arithmetic number, because the mean of its divisors is an integer number (42508719).

Almost surely, 2^5175528960 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 5175528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202092560).

5175528960 is an abundant number, since it is smaller than the sum of its proper divisors (15228656160).

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

5175528960 is a wasteful number, since it uses less digits than its factorization.

5175528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The square root of 5175528960 is about 71941.1492818957. The cubic root of 5175528960 is about 1729.7562733708.

The spelling of 5175528960 in words is "five billion, one hundred seventy-five million, five hundred twenty-eight thousand, nine hundred sixty".