11150225412480 has 768 divisors, whose sum is σ = 48043923932160. Its totient is φ = 2314998005760.

The previous prime is 11150225412419. The next prime is 11150225412493. The reversal of 11150225412480 is 8421452205111.

11150225412480 is a `hidden beast` number, since 1 + 1 + 1 + 50 + 22 + 541 + 2 + 48 + 0 = 666.

It is a super-2 number, since 2×11150225412480² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566365197 + ... + 566384883.

It is an arithmetic number, because the mean of its divisors is an integer number (62557192620).

Almost surely, 2^{11150225412480} is an apocalyptic number.

11150225412480 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 11150225412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24021961966080).

11150225412480 is an abundant number, since it is smaller than the sum of its proper divisors (36893698519680).

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

11150225412480 is a wasteful number, since it uses less digits than its factorization.

11150225412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21007 (or 20992 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 11150225412480 its reverse (8421452205111), we get a palindrome (19571677617591).

The spelling of 11150225412480 in words is "eleven trillion, one hundred fifty billion, two hundred twenty-five million, four hundred twelve thousand, four hundred eighty".