10117324800 has 504 divisors, whose sum is σ = 39614094000. Its totient is φ = 2447769600.

The previous prime is 10117324793. The next prime is 10117324871. The reversal of 10117324800 is 842371101.

10117324800 is a `hidden beast` number, since 10 + 1 + 173 + 2 + 480 + 0 = 666.

It is a super-2 number, since 2×10117324800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20274951 + ... + 20275449.

Almost surely, 2^10117324800 is an apocalyptic number.

10117324800 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 10117324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807047000).

10117324800 is an abundant number, since it is smaller than the sum of its proper divisors (29496769200).

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

10117324800 is a wasteful number, since it uses less digits than its factorization.

10117324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10117324800 its reverse (842371101), we get a palindrome (10959695901).

The spelling of 10117324800 in words is "ten billion, one hundred seventeen million, three hundred twenty-four thousand, eight hundred".