10259116623 has 36 divisors (see below), whose sum is σ = 17290795600. Its totient is φ = 5859136584.

The previous prime is 10259116607. The next prime is 10259116639. The reversal of 10259116623 is 32661195201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10259116623 is a `hidden beast` number, since 1 + 0 + 2 + 591 + 1 + 6 + 62 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10259116607) and next prime (10259116639).

It is not a de Polignac number, because 10259116623 - 2⁴ = 10259116607 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259116663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5626690 + ... + 5628512.

Almost surely, 2^10259116623 is an apocalyptic number.

10259116623 is a deficient number, since it is larger than the sum of its proper divisors (7031678977).

10259116623 is an frugal number, since it uses more digits than its factorization.

10259116623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10259116623 in words is "ten billion, two hundred fifty-nine million, one hundred sixteen thousand, six hundred twenty-three".