11003525120 has 96 divisors (see below), whose sum is σ = 30173925600. Its totient is φ = 3772612608.

The previous prime is 11003525087. The next prime is 11003525131. The reversal of 11003525120 is 2152530011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11003525092 and 11003525101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5075 + ... + 148434.

It is an arithmetic number, because the mean of its divisors is an integer number (314311725).

Almost surely, 2^11003525120 is an apocalyptic number.

11003525120 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 11003525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15086962800).

11003525120 is an abundant number, since it is smaller than the sum of its proper divisors (19170400480).

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

11003525120 is an equidigital number, since it uses as much as digits as its factorization.

11003525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153543 (or 153523 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 11003525120 in words is "eleven billion, three million, five hundred twenty-five thousand, one hundred twenty".