10008418560 has 432 divisors, whose sum is σ = 38078542656. Its totient is φ = 2232631296.

The previous prime is 10008418547. The next prime is 10008418577. The reversal of 10008418560 is 6581480001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8090262 + ... + 8091498.

Almost surely, 2^10008418560 is an apocalyptic number.

10008418560 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 10008418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039271328).

10008418560 is an abundant number, since it is smaller than the sum of its proper divisors (28070124096).

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

10008418560 is a wasteful number, since it uses less digits than its factorization.

10008418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

Adding to 10008418560 its reverse (6581480001), we get a palindrome (16589898561).

The spelling of 10008418560 in words is "ten billion, eight million, four hundred eighteen thousand, five hundred sixty".