11552153340032 has 192 divisors, whose sum is σ = 24546996864000. Its totient is φ = 5400319334400.

The previous prime is 11552153340023. The next prime is 11552153340047. The reversal of 11552153340032 is 23004335125511.

It is a happy number.

It is a super-2 number, since 2×11552153340032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11552153339974 and 11552153340001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10036622657 + ... + 10036623807.

It is an arithmetic number, because the mean of its divisors is an integer number (127848942000).

Almost surely, 2^{11552153340032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11552153340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12273498432000).

11552153340032 is an abundant number, since it is smaller than the sum of its proper divisors (12994843523968).

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

11552153340032 is a wasteful number, since it uses less digits than its factorization.

11552153340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 11552153340032 its reverse (23004335125511), we get a palindrome (34556488465543).

The spelling of 11552153340032 in words is "eleven trillion, five hundred fifty-two billion, one hundred fifty-three million, three hundred forty thousand, thirty-two".