11216211536520 has 192 divisors, whose sum is σ = 37165854024000. Its totient is φ = 2932734242304.

The previous prime is 11216211536513. The next prime is 11216211536527. The reversal of 11216211536520 is 2563511261211.

11216211536520 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 62 + 11 + 536 + 52 + 0 = 666.

11216211536520 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 (11216211536513) and next prime (11216211536527).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11216211536527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7583607 + ... + 8941113.

It is an arithmetic number, because the mean of its divisors is an integer number (193572156375).

Almost surely, 2^{11216211536520} is an apocalyptic number.

11216211536520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11216211536520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18582927012000).

11216211536520 is an abundant number, since it is smaller than the sum of its proper divisors (25949642487480).

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

11216211536520 is a wasteful number, since it uses less digits than its factorization.

11216211536520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357972 (or 1357965 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 11216211536520 its reverse (2563511261211), we get a palindrome (13779722797731).

The spelling of 11216211536520 in words is "eleven trillion, two hundred sixteen billion, two hundred eleven million, five hundred thirty-six thousand, five hundred twenty".