5257128960 has 352 divisors, whose sum is σ = 19790723520. Its totient is φ = 1318846464.

The previous prime is 5257128953. The next prime is 5257128973. The reversal of 5257128960 is 698217525.

5257128960 is a `hidden beast` number, since 52 + 571 + 28 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 2348962 + ... + 2351198.

Almost surely, 2^5257128960 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 5257128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895361760).

5257128960 is an abundant number, since it is smaller than the sum of its proper divisors (14533594560).

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

5257128960 is a wasteful number, since it uses less digits than its factorization.

5257128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5257128960 is about 72506.0615397085. The cubic root of 5257128960 is about 1738.7996477425.

The spelling of 5257128960 in words is "five billion, two hundred fifty-seven million, one hundred twenty-eight thousand, nine hundred sixty".