11002605120 has 336 divisors, whose sum is σ = 42903282240. Its totient is φ = 2565623808.

The previous prime is 11002605113. The next prime is 11002605167. The reversal of 11002605120 is 2150620011.

11002605120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11002605093 and 11002605102.

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 47 ways as a sum of consecutive naturals, for example, 703627 + ... + 719093.

It is an arithmetic number, because the mean of its divisors is an integer number (127688340).

Almost surely, 2^11002605120 is an apocalyptic number.

11002605120 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 11002605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21451641120).

11002605120 is an abundant number, since it is smaller than the sum of its proper divisors (31900677120).

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

11002605120 is a wasteful number, since it uses less digits than its factorization.

11002605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15522 (or 15509 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 11002605120 in words is "eleven billion, two million, six hundred five thousand, one hundred twenty".