10116415760 has 160 divisors (see below), whose sum is σ = 27576484992. Its totient is φ = 3410288640.

The previous prime is 10116415753. The next prime is 10116415807. The reversal of 10116415760 is 6751461101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997274 + ... + 1007366.

Almost surely, 2^10116415760 is an apocalyptic number.

10116415760 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 10116415760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788242496).

10116415760 is an abundant number, since it is smaller than the sum of its proper divisors (17460069232).

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

10116415760 is a wasteful number, since it uses less digits than its factorization.

10116415760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201 (or 10195 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

Adding to 10116415760 its reverse (6751461101), we get a palindrome (16867876861).

The spelling of 10116415760 in words is "ten billion, one hundred sixteen million, four hundred fifteen thousand, seven hundred sixty".