10623004080 has 160 divisors (see below), whose sum is σ = 35507269056. Its totient is φ = 2611740672.

The previous prime is 10623004037. The next prime is 10623004087. The reversal of 10623004080 is 8040032601.

It is a happy number.

10623004080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10623004080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10623004080.

It is not an unprimeable number, because it can be changed into a prime (10623004087) 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 31 ways as a sum of consecutive naturals, for example, 3595884 + ... + 3598836.

Almost surely, 2^10623004080 is an apocalyptic number.

10623004080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10623004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17753634528).

10623004080 is an abundant number, since it is smaller than the sum of its proper divisors (24884264976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10623004080 is a wasteful number, since it uses less digits than its factorization.

10623004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10623004080 its reverse (8040032601), we get a palindrome (18663036681).

The spelling of 10623004080 in words is "ten billion, six hundred twenty-three million, four thousand, eighty".