10128512160 has 576 divisors, whose sum is σ = 39989738880. Its totient is φ = 2403717120.

The previous prime is 10128512129. The next prime is 10128512179. The reversal of 10128512160 is 6121582101.

10128512160 is a `hidden beast` number, since 10 + 128 + 512 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14657415 + ... + 14658105.

It is an arithmetic number, because the mean of its divisors is an integer number (69426630).

Almost surely, 2^10128512160 is an apocalyptic number.

10128512160 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 10128512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994869440).

10128512160 is an abundant number, since it is smaller than the sum of its proper divisors (29861226720).

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

10128512160 is a wasteful number, since it uses less digits than its factorization.

10128512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 10128512160 in words is "ten billion, one hundred twenty-eight million, five hundred twelve thousand, one hundred sixty".