10128458160 has 160 divisors (see below), whose sum is σ = 34924639680. Its totient is φ = 2698002432.

The previous prime is 10128458159. The next prime is 10128458183. The reversal of 10128458160 is 6185482101.

10128458160 is a `hidden beast` number, since 1 + 0 + 12 + 8 + 4 + 581 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626794 + ... + 2630646.

It is an arithmetic number, because the mean of its divisors is an integer number (218278998).

Almost surely, 2^10128458160 is an apocalyptic number.

10128458160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10128458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17462319840).

10128458160 is an abundant number, since it is smaller than the sum of its proper divisors (24796181520).

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

10128458160 is a wasteful number, since it uses less digits than its factorization.

10128458160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10128458160 in words is "ten billion, one hundred twenty-eight million, four hundred fifty-eight thousand, one hundred sixty".