10128113664 has 360 divisors, whose sum is σ = 30902688768. Its totient is φ = 2941255680.

The previous prime is 10128113627. The next prime is 10128113693. The reversal of 10128113664 is 46631182101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 326713329 + ... + 326713359.

Almost surely, 2^10128113664 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 10128113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451344384).

10128113664 is an abundant number, since it is smaller than the sum of its proper divisors (20774575104).

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

10128113664 is an equidigital number, since it uses as much as digits as its factorization.

10128113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 10128113664 its reverse (46631182101), we get a palindrome (56759295765).

The spelling of 10128113664 in words is "ten billion, one hundred twenty-eight million, one hundred thirteen thousand, six hundred sixty-four".