11552105540 has 24 divisors (see below), whose sum is σ = 25686447192. Its totient is φ = 4349027840.

The previous prime is 11552105497. The next prime is 11552105567. The reversal of 11552105540 is 4550125511.

It can be written as a sum of positive squares in 4 ways, for example, as 3201070084 + 8351035456 = 56578^2 + 91384^2 .

It is a super-2 number, since 2×11552105540² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16988051 + ... + 16988730.

It is an arithmetic number, because the mean of its divisors is an integer number (1070268633).

Almost surely, 2^11552105540 is an apocalyptic number.

11552105540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11552105540 is an abundant number, since it is smaller than the sum of its proper divisors (14134341652).

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

11552105540 is a wasteful number, since it uses less digits than its factorization.

11552105540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33976807 (or 33976805 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 29.

The spelling of 11552105540 in words is "eleven billion, five hundred fifty-two million, one hundred five thousand, five hundred forty".