10634815128 has 128 divisors (see below), whose sum is σ = 32462438400. Its totient is φ = 2835575424.

The previous prime is 10634815111. The next prime is 10634815129. The reversal of 10634815128 is 82151843601.

10634815128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10634815128² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634815129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 189001 + ... + 238727.

It is an arithmetic number, because the mean of its divisors is an integer number (253612800).

Almost surely, 2^10634815128 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 10634815128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231219200).

10634815128 is an abundant number, since it is smaller than the sum of its proper divisors (21827623272).

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

10634815128 is a wasteful number, since it uses less digits than its factorization.

10634815128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49829 (or 49825 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10634815128 in words is "ten billion, six hundred thirty-four million, eight hundred fifteen thousand, one hundred twenty-eight".