10117260720 has 320 divisors, whose sum is σ = 40044579840. Its totient is φ = 2299871232.

The previous prime is 10117260701. The next prime is 10117260721. The reversal of 10117260720 is 2706271101.

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

It is not an unprimeable number, because it can be changed into a prime (10117260721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2916427 + ... + 2919893.

It is an arithmetic number, because the mean of its divisors is an integer number (125139312).

Almost surely, 2^10117260720 is an apocalyptic number.

10117260720 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 10117260720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20022289920).

10117260720 is an abundant number, since it is smaller than the sum of its proper divisors (29927319120).

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

10117260720 is a wasteful number, since it uses less digits than its factorization.

10117260720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 10117260720 in words is "ten billion, one hundred seventeen million, two hundred sixty thousand, seven hundred twenty".