10128627960960 has 128 divisors (see below), whose sum is σ = 32287437244800. Its totient is φ = 2700763693056.

The previous prime is 10128627960959. The next prime is 10128627960989. The reversal of 10128627960960 is 6906972682101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10128627960960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26167557 + ... + 26551803.

It is an arithmetic number, because the mean of its divisors is an integer number (252245603475).

Almost surely, 2^{10128627960960} is an apocalyptic number.

10128627960960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10128627960960 is an abundant number, since it is smaller than the sum of its proper divisors (22158809283840).

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

10128627960960 is a wasteful number, since it uses less digits than its factorization.

10128627960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397998 (or 397986 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 10128627960960 in words is "ten trillion, one hundred twenty-eight billion, six hundred twenty-seven million, nine hundred sixty thousand, nine hundred sixty".