10117198080 has 432 divisors, whose sum is σ = 39614387904. Its totient is φ = 2451824640.

The previous prime is 10117198027. The next prime is 10117198097. The reversal of 10117198080 is 8089171101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3419962 + ... + 3422918.

It is an arithmetic number, because the mean of its divisors is an integer number (91699972).

Almost surely, 2^10117198080 is an apocalyptic number.

10117198080 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 10117198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807193952).

10117198080 is an abundant number, since it is smaller than the sum of its proper divisors (29497189824).

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

10117198080 is an equidigital number, since it uses as much as digits as its factorization.

10117198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The spelling of 10117198080 in words is "ten billion, one hundred seventeen million, one hundred ninety-eight thousand, eighty".