10288578117 has 16 divisors (see below), whose sum is σ = 13778835840. Its totient is φ = 6828729600.

The previous prime is 10288578077. The next prime is 10288578119. The reversal of 10288578117 is 71187588201.

It is not a de Polignac number, because 10288578117 - 2¹⁰ = 10288577093 is a prime.

It is a super-2 number, since 2×10288578117² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288578119) 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 15 ways as a sum of consecutive naturals, for example, 1108984 + ... + 1118222.

It is an arithmetic number, because the mean of its divisors is an integer number (861177240).

Almost surely, 2^10288578117 is an apocalyptic number.

It is an amenable number.

10288578117 is a deficient number, since it is larger than the sum of its proper divisors (3490257723).

10288578117 is a wasteful number, since it uses less digits than its factorization.

10288578117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10844.

The product of its (nonzero) digits is 250880, while the sum is 48.

The spelling of 10288578117 in words is "ten billion, two hundred eighty-eight million, five hundred seventy-eight thousand, one hundred seventeen".