10117509120 has 624 divisors, whose sum is σ = 38640551040. Its totient is φ = 2532114432.

The previous prime is 10117509119. The next prime is 10117509121. The reversal of 10117509120 is 2190571101.

It is an interprime number because it is at equal distance from previous prime (10117509119) and next prime (10117509121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117509121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94556107 + ... + 94556213.

It is an arithmetic number, because the mean of its divisors is an integer number (61923960).

Almost surely, 2^10117509120 is an apocalyptic number.

10117509120 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 10117509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320275520).

10117509120 is an abundant number, since it is smaller than the sum of its proper divisors (28523041920).

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

10117509120 is an equidigital number, since it uses as much as digits as its factorization.

10117509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The spelling of 10117509120 in words is "ten billion, one hundred seventeen million, five hundred nine thousand, one hundred twenty".