10775540400 has 60 divisors (see below), whose sum is σ = 34517651592. Its totient is φ = 2873477120.

The previous prime is 10775540393. The next prime is 10775540401. The reversal of 10775540400 is 404557701.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10775540400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10775540401) 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 11 ways as a sum of consecutive naturals, for example, 4488609 + ... + 4491008.

Almost surely, 2^10775540400 is an apocalyptic number.

10775540400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10775540400 is an abundant number, since it is smaller than the sum of its proper divisors (23742111192).

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

10775540400 is a wasteful number, since it uses less digits than its factorization.

10775540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979638 (or 8979627 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The spelling of 10775540400 in words is "ten billion, seven hundred seventy-five million, five hundred forty thousand, four hundred".