11537242569216 has 1920 divisors, whose sum is σ = 44041181184000. Its totient is φ = 2885296619520.

The previous prime is 11537242569211. The next prime is 11537242569221. The reversal of 11537242569216 is 61296524273511.

11537242569216 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 72 + 4 + 2 + 569 + 2 + 1 + 6 = 666.

11537242569216 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 (11537242569211) and next prime (11537242569221).

It is a super-2 number, since 2×11537242569216² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11537242569211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37580594535 + ... + 37580594841.

It is an arithmetic number, because the mean of its divisors is an integer number (22938115200).

Almost surely, 2^{11537242569216} is an apocalyptic number.

11537242569216 is a gapful number since it is divisible by the number (16) 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 11537242569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22020590592000).

11537242569216 is an abundant number, since it is smaller than the sum of its proper divisors (32503938614784).

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

11537242569216 is a wasteful number, since it uses less digits than its factorization.

11537242569216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 422 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 11537242569216 in words is "eleven trillion, five hundred thirty-seven billion, two hundred forty-two million, five hundred sixty-nine thousand, two hundred sixteen".