10128803108760 has 768 divisors, whose sum is σ = 39273820185600. Its totient is φ = 2299836229632.

The previous prime is 10128803108663. The next prime is 10128803108773. The reversal of 10128803108760 is 6780130882101.

It is a happy number.

10128803108760 is a `hidden beast` number, since 1 + 0 + 128 + 80 + 310 + 87 + 60 = 666.

10128803108760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8045117011 + ... + 8045118269.

It is an arithmetic number, because the mean of its divisors is an integer number (51137786700).

Almost surely, 2^{10128803108760} is an apocalyptic number.

10128803108760 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 10128803108760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19636910092800).

10128803108760 is an abundant number, since it is smaller than the sum of its proper divisors (29145017076840).

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

10128803108760 is a wasteful number, since it uses less digits than its factorization.

10128803108760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10128803108760 in words is "ten trillion, one hundred twenty-eight billion, eight hundred three million, one hundred eight thousand, seven hundred sixty".