10757875128 has 768 divisors, whose sum is σ = 40210007040. Its totient is φ = 2348236800.

The previous prime is 10757875127. The next prime is 10757875133. The reversal of 10757875128 is 82157875701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10757875127) 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 191 ways as a sum of consecutive naturals, for example, 151519333 + ... + 151519403.

It is an arithmetic number, because the mean of its divisors is an integer number (52356780).

Almost surely, 2^10757875128 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 10757875128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105003520).

10757875128 is an abundant number, since it is smaller than the sum of its proper divisors (29452131912).

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

10757875128 is a wasteful number, since it uses less digits than its factorization.

10757875128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 51.

The spelling of 10757875128 in words is "ten billion, seven hundred fifty-seven million, eight hundred seventy-five thousand, one hundred twenty-eight".