128853582975 has 240 divisors, whose sum is σ = 274354141600. Its totient is φ = 59256852480.

The previous prime is 128853582961. The next prime is 128853582989. The reversal of 128853582975 is 579285358821.

128853582975 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 535 + 8 + 2 + 97 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (128853582961) and next prime (128853582989).

It is not a de Polignac number, because 128853582975 - 2¹⁴ = 128853566591 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36511011 + ... + 36514539.

Almost surely, 2^128853582975 is an apocalyptic number.

128853582975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

128853582975 is an abundant number, since it is smaller than the sum of its proper divisors (145500558625).

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

128853582975 is a wasteful number, since it uses less digits than its factorization.

128853582975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3642 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 63.

The spelling of 128853582975 in words is "one hundred twenty-eight billion, eight hundred fifty-three million, five hundred eighty-two thousand, nine hundred seventy-five".