10046080128 has 128 divisors (see below), whose sum is σ = 30915400320. Its totient is φ = 2830934016.

The previous prime is 10046080127. The next prime is 10046080133. The reversal of 10046080128 is 82108064001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10046080095 and 10046080104.

It is not an unprimeable number, because it can be changed into a prime (10046080127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170626 + ... + 221822.

It is an arithmetic number, because the mean of its divisors is an integer number (241526565).

Almost surely, 2^10046080128 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 10046080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457700160).

10046080128 is an abundant number, since it is smaller than the sum of its proper divisors (20869320192).

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

10046080128 is an equidigital number, since it uses as much as digits as its factorization.

10046080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51294 (or 51282 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 10046080128 in words is "ten billion, forty-six million, eighty thousand, one hundred twenty-eight".