11504380353312 has 384 divisors, whose sum is σ = 39302342553600. Its totient is φ = 2857164963840.

The previous prime is 11504380353253. The next prime is 11504380353391. The reversal of 11504380353312 is 21335308340511.

It is a super-2 number, since 2×11504380353312² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518367688 + ... + 518389880.

It is an arithmetic number, because the mean of its divisors is an integer number (102349850400).

Almost surely, 2^{11504380353312} is an apocalyptic number.

11504380353312 is a gapful number since it is divisible by the number (12) 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 11504380353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651171276800).

11504380353312 is an abundant number, since it is smaller than the sum of its proper divisors (27797962200288).

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

11504380353312 is a wasteful number, since it uses less digits than its factorization.

11504380353312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25296 (or 25288 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 11504380353312 its reverse (21335308340511), we get a palindrome (32839688693823).

The spelling of 11504380353312 in words is "eleven trillion, five hundred four billion, three hundred eighty million, three hundred fifty-three thousand, three hundred twelve".