11080613456352 has 480 divisors, whose sum is σ = 36350285013504. Its totient is φ = 3283039641600.

The previous prime is 11080613456329. The next prime is 11080613456377. The reversal of 11080613456352 is 25365431608011.

11080613456352 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 0 + 6 + 1 + 3 + 4 + 5 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11080613456298 and 11080613456307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229525977 + ... + 229574247.

Almost surely, 2^{11080613456352} is an apocalyptic number.

11080613456352 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 11080613456352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175142506752).

11080613456352 is an abundant number, since it is smaller than the sum of its proper divisors (25269671557152).

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

11080613456352 is a wasteful number, since it uses less digits than its factorization.

11080613456352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48484 (or 48467 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11080613456352 in words is "eleven trillion, eighty billion, six hundred thirteen million, four hundred fifty-six thousand, three hundred fifty-two".