11777632305 has 16 divisors (see below), whose sum is σ = 18845952000. Its totient is φ = 6280823808.

The previous prime is 11777632301. The next prime is 11777632309. The reversal of 11777632305 is 50323677711.

It is an interprime number because it is at equal distance from previous prime (11777632301) and next prime (11777632309).

It is not a de Polignac number, because 11777632305 - 2² = 11777632301 is a prime.

It is a super-2 number, since 2×11777632305² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11777632301) 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 15 ways as a sum of consecutive naturals, for example, 169104 + ... + 228366.

It is an arithmetic number, because the mean of its divisors is an integer number (1177872000).

Almost surely, 2^11777632305 is an apocalyptic number.

11777632305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11777632305 is a deficient number, since it is larger than the sum of its proper divisors (7068319695).

11777632305 is a wasteful number, since it uses less digits than its factorization.

11777632305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72520.

The product of its (nonzero) digits is 185220, while the sum is 42.

The spelling of 11777632305 in words is "eleven billion, seven hundred seventy-seven million, six hundred thirty-two thousand, three hundred five".