5852257000128 has 448 divisors, whose sum is σ = 21469989104640. Its totient is φ = 1518638284800.

The previous prime is 5852257000123. The next prime is 5852257000169. The reversal of 5852257000128 is 8210007522585.

5852257000128 is a `hidden beast` number, since 5 + 8 + 52 + 2 + 570 + 0 + 0 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (5852257000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145410088 + ... + 145450328.

Almost surely, 2^{5852257000128} 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 5852257000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10734994552320).

5852257000128 is an abundant number, since it is smaller than the sum of its proper divisors (15617732104512).

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

5852257000128 is a wasteful number, since it uses less digits than its factorization.

5852257000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41373 (or 41357 counting only the distinct ones).

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

The spelling of 5852257000128 in words is "five trillion, eight hundred fifty-two billion, two hundred fifty-seven million, one hundred twenty-eight", and thus it is an aban number.