11216511016711 has 32 divisors (see below), whose sum is σ = 15082715321856. Its totient is φ = 8055614160000.

The previous prime is 11216511016681. The next prime is 11216511016741. The reversal of 11216511016711 is 11761011561211.

11216511016711 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11216511016681) and next prime (11216511016741).

It is not a de Polignac number, because 11216511016711 - 2²³ = 11216502628103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11216511016741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7814365 + ... + 9137686.

It is an arithmetic number, because the mean of its divisors is an integer number (471334853808).

Almost surely, 2^{11216511016711} is an apocalyptic number.

11216511016711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11216511016711 is a deficient number, since it is larger than the sum of its proper divisors (3866204305145).

11216511016711 is a wasteful number, since it uses less digits than its factorization.

11216511016711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16952743.

The product of its (nonzero) digits is 2520, while the sum is 34.

Adding to 11216511016711 its reverse (11761011561211), we get a palindrome (22977522577922).

The spelling of 11216511016711 in words is "eleven trillion, two hundred sixteen billion, five hundred eleven million, sixteen thousand, seven hundred eleven".