11505000655071 has 64 divisors (see below), whose sum is σ = 21256671744000. Its totient is φ = 5974808508000.

The previous prime is 11505000655039. The next prime is 11505000655103. The reversal of 11505000655071 is 17055600050511.

It is a happy number.

11505000655071 is a `hidden beast` number, since 1 + 1 + 50 + 50 + 0 + 0 + 6 + 550 + 7 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (11505000655039) and next prime (11505000655103).

It is not a de Polignac number, because 11505000655071 - 2⁵ = 11505000655039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11505000651071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6019896 + ... + 7697346.

It is an arithmetic number, because the mean of its divisors is an integer number (332135496000).

Almost surely, 2^{11505000655071} is an apocalyptic number.

11505000655071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11505000655071 is a deficient number, since it is larger than the sum of its proper divisors (9751671088929).

11505000655071 is a wasteful number, since it uses less digits than its factorization.

11505000655071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680777 (or 1680771 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 36.

The spelling of 11505000655071 in words is "eleven trillion, five hundred five billion, six hundred fifty-five thousand, seventy-one".