10775180856 has 128 divisors (see below), whose sum is σ = 31643654400. Its totient is φ = 3020974080.

The previous prime is 10775180831. The next prime is 10775180887. The reversal of 10775180856 is 65808157701.

It is a super-2 number, since 2×10775180856² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244446 + ... + 285138.

It is an arithmetic number, because the mean of its divisors is an integer number (247216050).

Almost surely, 2^10775180856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10775180856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821827200).

10775180856 is an abundant number, since it is smaller than the sum of its proper divisors (20868473544).

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

10775180856 is a wasteful number, since it uses less digits than its factorization.

10775180856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40789 (or 40785 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 10775180856 in words is "ten billion, seven hundred seventy-five million, one hundred eighty thousand, eight hundred fifty-six".