10111517080 has 128 divisors (see below), whose sum is σ = 26751098880. Its totient is φ = 3367687680.

The previous prime is 10111517069. The next prime is 10111517093. The reversal of 10111517080 is 8071511101.

It is a congruent number.

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, 2297442 + ... + 2301838.

It is an arithmetic number, because the mean of its divisors is an integer number (208992960).

Almost surely, 2^10111517080 is an apocalyptic number.

10111517080 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 10111517080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13375549440).

10111517080 is an abundant number, since it is smaller than the sum of its proper divisors (16639581800).

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

10111517080 is a wasteful number, since it uses less digits than its factorization.

10111517080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 25.

The spelling of 10111517080 in words is "ten billion, one hundred eleven million, five hundred seventeen thousand, eighty".