75831688128 has 168 divisors, whose sum is σ = 240925039104. Its totient is φ = 20967206400.

The previous prime is 75831688123. The next prime is 75831688187. The reversal of 75831688128 is 82188613857.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×75831688128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75831688123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161643 + ... + 421653.

Almost surely, 2^75831688128 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 75831688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120462519552).

75831688128 is an abundant number, since it is smaller than the sum of its proper divisors (165093350976).

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

75831688128 is a wasteful number, since it uses less digits than its factorization.

75831688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260071 (or 260054 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 57.

The spelling of 75831688128 in words is "seventy-five billion, eight hundred thirty-one million, six hundred eighty-eight thousand, one hundred twenty-eight".