10008460000 has 480 divisors, whose sum is σ = 31477324032. Its totient is φ = 3041280000.

The previous prime is 10008459991. The next prime is 10008460001. The reversal of 10008460000 is 6480001.

It is a self number, because there is not a number n which added to its sum of digits gives 10008460000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008460001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103179952 + ... + 103180048.

Almost surely, 2^10008460000 is an apocalyptic number.

10008460000 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 10008460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738662016).

10008460000 is an abundant number, since it is smaller than the sum of its proper divisors (21468864032).

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

10008460000 is an equidigital number, since it uses as much as digits as its factorization.

10008460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The spelling of 10008460000 in words is "ten billion, eight million, four hundred sixty thousand".