11211596218368 has 2400 divisors, whose sum is σ = 45016862736384. Its totient is φ = 2696845197312.

The previous prime is 11211596218363. The next prime is 11211596218387. The reversal of 11211596218368 is 86381269511211.

11211596218368 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 5 + 9 + 621 + 8 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211596218363) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88280285121 + ... + 88280285247.

Almost surely, 2^{11211596218368} is an apocalyptic number.

11211596218368 is a gapful number since it is divisible by the number (18) 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 11211596218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22508431368192).

11211596218368 is an abundant number, since it is smaller than the sum of its proper divisors (33805266518016).

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

11211596218368 is a wasteful number, since it uses less digits than its factorization.

11211596218368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 212 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 11211596218368 in words is "eleven trillion, two hundred eleven billion, five hundred ninety-six million, two hundred eighteen thousand, three hundred sixty-eight".