10775073600 has 420 divisors, whose sum is σ = 40198596768. Its totient is φ = 2830464000.

The previous prime is 10775073599. The next prime is 10775073607. The reversal of 10775073600 is 637057701.

It is a super-2 number, since 2×10775073600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775073607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9201015 + ... + 9202185.

Almost surely, 2^10775073600 is an apocalyptic number.

10775073600 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 10775073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20099298384).

10775073600 is an abundant number, since it is smaller than the sum of its proper divisors (29423523168).

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

10775073600 is a wasteful number, since it uses less digits than its factorization.

10775073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 10775073600 in words is "ten billion, seven hundred seventy-five million, seventy-three thousand, six hundred".