57525028128 has 144 divisors (see below), whose sum is σ = 176049966456. Its totient is φ = 17751121920.

The previous prime is 57525028123. The next prime is 57525028133. The reversal of 57525028128 is 82182052575.

57525028128 is a `hidden beast` number, since 575 + 2 + 50 + 2 + 8 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (57525028123) and next prime (57525028133).

It can be written as a sum of positive squares in 4 ways, for example, as 34368710544 + 23156317584 = 185388^2 + 152172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×57525028128² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57525028123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 202350 + ... + 394962.

Almost surely, 2^57525028128 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 57525028128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88024983228).

57525028128 is an abundant number, since it is smaller than the sum of its proper divisors (118524938328).

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

57525028128 is a wasteful number, since it uses less digits than its factorization.

57525028128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192707 (or 192696 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 57525028128 in words is "fifty-seven billion, five hundred twenty-five million, twenty-eight thousand, one hundred twenty-eight".