10917050880 has 160 divisors (see below), whose sum is σ = 35393770368. Its totient is φ = 2870067200.

The previous prime is 10917050863. The next prime is 10917050887. The reversal of 10917050880 is 8805071901.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10917050887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535270 + ... + 555290.

Almost surely, 2^10917050880 is an apocalyptic number.

10917050880 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 10917050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696885184).

10917050880 is an abundant number, since it is smaller than the sum of its proper divisors (24476719488).

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

10917050880 is an equidigital number, since it uses as much as digits as its factorization.

10917050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20118 (or 20102 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 10917050880 in words is "ten billion, nine hundred seventeen million, fifty thousand, eight hundred eighty".