11705185040 has 20 divisors (see below), whose sum is σ = 27214555404. Its totient is φ = 4682073984.

The previous prime is 11705185039. The next prime is 11705185057. The reversal of 11705185040 is 4058150711.

It can be written as a sum of positive squares in 2 ways, for example, as 4137576976 + 7567608064 = 64324^2 + 86992^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11705185040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11705184988 and 11705185006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73157327 + ... + 73157486.

Almost surely, 2^11705185040 is an apocalyptic number.

11705185040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11705185040 is an abundant number, since it is smaller than the sum of its proper divisors (15509370364).

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

11705185040 is a wasteful number, since it uses less digits than its factorization.

11705185040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146314826 (or 146314820 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 32.

The spelling of 11705185040 in words is "eleven billion, seven hundred five million, one hundred eighty-five thousand, forty".