10117417920 has 448 divisors, whose sum is σ = 36166348800. Its totient is φ = 2384363520.

The previous prime is 10117417903. The next prime is 10117417943. The reversal of 10117417920 is 2971471101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16397452 + ... + 16398068.

Almost surely, 2^10117417920 is an apocalyptic number.

10117417920 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 10117417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083174400).

10117417920 is an abundant number, since it is smaller than the sum of its proper divisors (26048930880).

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

10117417920 is a wasteful number, since it uses less digits than its factorization.

10117417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 33.

The spelling of 10117417920 in words is "ten billion, one hundred seventeen million, four hundred seventeen thousand, nine hundred twenty".