11405777120 has 48 divisors (see below), whose sum is σ = 27008831808. Its totient is φ = 4551697920.

The previous prime is 11405777101. The next prime is 11405777129. The reversal of 11405777120 is 2177750411.

11405777120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11405777120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11405777129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13739 + ... + 151658.

It is an arithmetic number, because the mean of its divisors is an integer number (562683996).

Almost surely, 2^11405777120 is an apocalyptic number.

11405777120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11405777120 is an abundant number, since it is smaller than the sum of its proper divisors (15603054688).

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

11405777120 is a wasteful number, since it uses less digits than its factorization.

11405777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165843 (or 165835 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 35.

The spelling of 11405777120 in words is "eleven billion, four hundred five million, seven hundred seventy-seven thousand, one hundred twenty".