10128630096 has 200 divisors, whose sum is σ = 32244436224. Its totient is φ = 3049954560.

The previous prime is 10128630089. The next prime is 10128630101. The reversal of 10128630096 is 69003682101.

10128630096 is a `hidden beast` number, since 1 + 0 + 12 + 8 + 630 + 0 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10128630096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 785461 + ... + 798251.

Almost surely, 2^10128630096 is an apocalyptic number.

10128630096 is a gapful number since it is divisible by the number (16) 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 10128630096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122218112).

10128630096 is an abundant number, since it is smaller than the sum of its proper divisors (22115806128).

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

10128630096 is a wasteful number, since it uses less digits than its factorization.

10128630096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12871 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10128630096 in words is "ten billion, one hundred twenty-eight million, six hundred thirty thousand, ninety-six".