11281253616720 has 120 divisors (see below), whose sum is σ = 37890000043272. Its totient is φ = 3008033356800.

The previous prime is 11281253616701. The next prime is 11281253616749. The reversal of 11281253616720 is 2761635218211.

11281253616720 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 1 + 2 + 5 + 3 + 616 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1401723395136 + 9879530221584 = 1183944^2 + 3143172^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6465250 + ... + 8022590.

Almost surely, 2^{11281253616720} is an apocalyptic number.

11281253616720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11281253616720 is an abundant number, since it is smaller than the sum of its proper divisors (26608746426552).

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

11281253616720 is a wasteful number, since it uses less digits than its factorization.

11281253616720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567421 (or 1567412 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11281253616720 in words is "eleven trillion, two hundred eighty-one billion, two hundred fifty-three million, six hundred sixteen thousand, seven hundred twenty".