10225627667 has 8 divisors (see below), whose sum is σ = 10599659520. Its totient is φ = 9854356680.

The previous prime is 10225627627. The next prime is 10225627669. The reversal of 10225627667 is 76672652201.

10225627667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10225627667 - 2¹⁴ = 10225611283 is a prime.

It is a super-2 number, since 2×10225627667² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10225627669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682673 + ... + 697490.

It is an arithmetic number, because the mean of its divisors is an integer number (1324957440).

Almost surely, 2^10225627667 is an apocalyptic number.

10225627667 is a deficient number, since it is larger than the sum of its proper divisors (374031853).

10225627667 is a wasteful number, since it uses less digits than its factorization.

10225627667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380433.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 10225627667 in words is "ten billion, two hundred twenty-five million, six hundred twenty-seven thousand, six hundred sixty-seven".