11533516425060 has 192 divisors, whose sum is σ = 37951198838784. Its totient is φ = 2562153753600.

The previous prime is 11533516425043. The next prime is 11533516425071. The reversal of 11533516425060 is 6052461533511.

It is a happy number.

It is a super-2 number, since 2×11533516425060² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3255525 + ... + 5802195.

It is an arithmetic number, because the mean of its divisors is an integer number (197662493952).

Almost surely, 2^{11533516425060} is an apocalyptic number.

11533516425060 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 11533516425060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975599419392).

11533516425060 is an abundant number, since it is smaller than the sum of its proper divisors (26417682413724).

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

11533516425060 is a wasteful number, since it uses less digits than its factorization.

11533516425060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546994 (or 2546992 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

Adding to 11533516425060 its reverse (6052461533511), we get a palindrome (17585977958571).

The spelling of 11533516425060 in words is "eleven trillion, five hundred thirty-three billion, five hundred sixteen million, four hundred twenty-five thousand, sixty".