10117227960 has 288 divisors, whose sum is σ = 38901610800. Its totient is φ = 2273080320.

The previous prime is 10117227949. The next prime is 10117227961. The reversal of 10117227960 is 6972271101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117227961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1035900 + ... + 1045620.

Almost surely, 2^10117227960 is an apocalyptic number.

10117227960 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 10117227960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450805400).

10117227960 is an abundant number, since it is smaller than the sum of its proper divisors (28784382840).

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

10117227960 is a wasteful number, since it uses less digits than its factorization.

10117227960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9811 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 10117227960 in words is "ten billion, one hundred seventeen million, two hundred twenty-seven thousand, nine hundred sixty".