10008459744 has 96 divisors (see below), whose sum is σ = 27556816896. Its totient is φ = 3176870400.

The previous prime is 10008459743. The next prime is 10008459751. The reversal of 10008459744 is 44795480001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10008459696 and 10008459705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008459743) 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, 136969 + ... + 196919.

It is an arithmetic number, because the mean of its divisors is an integer number (287050176).

Almost surely, 2^10008459744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008459744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778408448).

10008459744 is an abundant number, since it is smaller than the sum of its proper divisors (17548357152).

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

10008459744 is a wasteful number, since it uses less digits than its factorization.

10008459744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60048 (or 60040 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10008459744 in words is "ten billion, eight million, four hundred fifty-nine thousand, seven hundred forty-four".