10011727075 has 24 divisors (see below), whose sum is σ = 14192939808. Its totient is φ = 6862817280.

The previous prime is 10011727073. The next prime is 10011727129. The reversal of 10011727075 is 57072711001.

It is not a de Polignac number, because 10011727075 - 2¹ = 10011727073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011727073) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 610179 + ... + 626371.

It is an arithmetic number, because the mean of its divisors is an integer number (591372492).

Almost surely, 2^10011727075 is an apocalyptic number.

10011727075 is a deficient number, since it is larger than the sum of its proper divisors (4181212733).

10011727075 is a wasteful number, since it uses less digits than its factorization.

10011727075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19743 (or 19738 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 31.

The spelling of 10011727075 in words is "ten billion, eleven million, seven hundred twenty-seven thousand, seventy-five".