11010045248280 has 256 divisors, whose sum is σ = 39526313904000. Its totient is φ = 2709954164736.

The previous prime is 11010045248161. The next prime is 11010045248287. The reversal of 11010045248280 is 8284254001011.

11010045248280 is a `hidden beast` number, since 1 + 1 + 0 + 100 + 4 + 524 + 8 + 28 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010045248287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258497226 + ... + 258539814.

Almost surely, 2^{11010045248280} is an apocalyptic number.

11010045248280 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 11010045248280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763156952000).

11010045248280 is an abundant number, since it is smaller than the sum of its proper divisors (28516268655720).

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

11010045248280 is a wasteful number, since it uses less digits than its factorization.

11010045248280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61035 (or 61025 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 11010045248280 its reverse (8284254001011), we get a palindrome (19294299249291).

The spelling of 11010045248280 in words is "eleven trillion, ten billion, forty-five million, two hundred forty-eight thousand, two hundred eighty".