11503265220 has 576 divisors, whose sum is σ = 40656784896. Its totient is φ = 2717245440.

The previous prime is 11503265197. The next prime is 11503265243. The reversal of 11503265220 is 2256230511.

It is a happy number.

11503265220 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 3 + 2 + 652 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11503265197) and next prime (11503265243).

It is a super-2 number, since 2×11503265220² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162017785 + ... + 162017855.

It is an arithmetic number, because the mean of its divisors is an integer number (70584696).

Almost surely, 2^11503265220 is an apocalyptic number.

11503265220 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 11503265220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328392448).

11503265220 is an abundant number, since it is smaller than the sum of its proper divisors (29153519676).

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

11503265220 is a wasteful number, since it uses less digits than its factorization.

11503265220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11503265220 its reverse (2256230511), we get a palindrome (13759495731).

The spelling of 11503265220 in words is "eleven billion, five hundred three million, two hundred sixty-five thousand, two hundred twenty".