10128961755 has 24 divisors (see below), whose sum is σ = 19152946800. Its totient is φ = 4911011520.

The previous prime is 10128961729. The next prime is 10128961763. The reversal of 10128961755 is 55716982101.

10128961755 is a `hidden beast` number, since 1 + 0 + 1 + 28 + 9 + 617 + 5 + 5 = 666.

It is not a de Polignac number, because 10128961755 - 2⁵ = 10128961723 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10128961755.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10230780 + ... + 10231769.

It is an arithmetic number, because the mean of its divisors is an integer number (798039450).

Almost surely, 2^10128961755 is an apocalyptic number.

10128961755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10128961755 is a deficient number, since it is larger than the sum of its proper divisors (9023985045).

10128961755 is a wasteful number, since it uses less digits than its factorization.

10128961755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20462571 (or 20462568 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 10128961755 in words is "ten billion, one hundred twenty-eight million, nine hundred sixty-one thousand, seven hundred fifty-five".