180400011 has 8 divisors (see below), whose sum is σ = 262400064. Its totient is φ = 109333320.

The previous prime is 180399991. The next prime is 180400019. The reversal of 180400011 is 110004081.

180400011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 180400011 - 2¹⁴ = 180383627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (180400019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2733301 + ... + 2733366.

It is an arithmetic number, because the mean of its divisors is an integer number (32800008).

Almost surely, 2^180400011 is an apocalyptic number.

180400011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

180400011 is a deficient number, since it is larger than the sum of its proper divisors (82000053).

180400011 is a wasteful number, since it uses less digits than its factorization.

180400011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466681.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 180400011 is about 13431.3071217957. The cubic root of 180400011 is about 565.0395576240.

Adding to 180400011 its reverse (110004081), we get a palindrome (290404092).

The spelling of 180400011 in words is "one hundred eighty million, four hundred thousand, eleven".