10975771800 has 576 divisors, whose sum is σ = 44816179200. Its totient is φ = 2357994240.

The previous prime is 10975771799. The next prime is 10975771823. The reversal of 10975771800 is 817757901.

It is a happy number.

10975771800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86423337 + ... + 86423463.

Almost surely, 2^10975771800 is an apocalyptic number.

10975771800 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 10975771800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22408089600).

10975771800 is an abundant number, since it is smaller than the sum of its proper divisors (33840407400).

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

10975771800 is a wasteful number, since it uses less digits than its factorization.

10975771800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 45.

The spelling of 10975771800 in words is "ten billion, nine hundred seventy-five million, seven hundred seventy-one thousand, eight hundred".