11255170248 has 144 divisors (see below), whose sum is σ = 36603740160. Its totient is φ = 3111998400.

The previous prime is 11255170237. The next prime is 11255170261. The reversal of 11255170248 is 84207155211.

It is a happy number.

11255170248 is a `hidden beast` number, since 1 + 12 + 551 + 70 + 24 + 8 = 666.

It is a super-2 number, since 2×11255170248² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57913 + ... + 160823.

It is an arithmetic number, because the mean of its divisors is an integer number (254192640).

Almost surely, 2^11255170248 is an apocalyptic number.

11255170248 is a gapful number since it is divisible by the number (18) 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 11255170248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301870080).

11255170248 is an abundant number, since it is smaller than the sum of its proper divisors (25348569912).

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

11255170248 is a wasteful number, since it uses less digits than its factorization.

11255170248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102968 (or 102954 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

It can be divided in two parts, 11255 and 170248, that added together give a triangular number (181503 = T₆₀₂).

The spelling of 11255170248 in words is "eleven billion, two hundred fifty-five million, one hundred seventy thousand, two hundred forty-eight".