10588008345 has 16 divisors (see below), whose sum is σ = 17001107712. Its totient is φ = 5626839680.

The previous prime is 10588008341. The next prime is 10588008377. The reversal of 10588008345 is 54380088501.

It is not a de Polignac number, because 10588008345 - 2² = 10588008341 is a prime.

It is a super-2 number, since 2×10588008345² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10588008297 and 10588008306.

It is not an unprimeable number, because it can be changed into a prime (10588008341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251777 + ... + 1260206.

It is an arithmetic number, because the mean of its divisors is an integer number (1062569232).

Almost surely, 2^10588008345 is an apocalyptic number.

10588008345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10588008345 is a deficient number, since it is larger than the sum of its proper divisors (6413099367).

10588008345 is a wasteful number, since it uses less digits than its factorization.

10588008345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512272.

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 10588008345 in words is "ten billion, five hundred eighty-eight million, eight thousand, three hundred forty-five".