11017175040 has 480 divisors, whose sum is σ = 41616711360. Its totient is φ = 2755657728.

The previous prime is 11017174999. The next prime is 11017175069. The reversal of 11017175040 is 4057171011.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 11017174995 and 11017175013.

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, 37601134 + ... + 37601426.

It is an arithmetic number, because the mean of its divisors is an integer number (86701482).

Almost surely, 2^11017175040 is an apocalyptic number.

11017175040 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 11017175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808355680).

11017175040 is an abundant number, since it is smaller than the sum of its proper divisors (30599536320).

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

11017175040 is an equidigital number, since it uses as much as digits as its factorization.

11017175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The spelling of 11017175040 in words is "eleven billion, seventeen million, one hundred seventy-five thousand, forty".