10128995800 has 384 divisors, whose sum is σ = 30998016000. Its totient is φ = 3048192000.

The previous prime is 10128995797. The next prime is 10128995819. The reversal of 10128995800 is 859982101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23392384 + ... + 23392816.

It is an arithmetic number, because the mean of its divisors is an integer number (80724000).

Almost surely, 2^10128995800 is an apocalyptic number.

10128995800 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 10128995800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008000).

10128995800 is an abundant number, since it is smaller than the sum of its proper divisors (20869020200).

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

10128995800 is a wasteful number, since it uses less digits than its factorization.

10128995800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 43.

The spelling of 10128995800 in words is "ten billion, one hundred twenty-eight million, nine hundred ninety-five thousand, eight hundred".