11275129355472 has 40 divisors (see below), whose sum is σ = 32363797225280. Its totient is φ = 3758376451680.

The previous prime is 11275129355443. The next prime is 11275129355473. The reversal of 11275129355472 is 27455392157211.

11275129355472 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 5 + 1 + 2 + 93 + 5 + 547 + 2 = 666.

It is a super-4 number, since 4×11275129355472⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11275129355473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13049917804 + ... + 13049918667.

It is an arithmetic number, because the mean of its divisors is an integer number (809094930632).

Almost surely, 2^{11275129355472} is an apocalyptic number.

11275129355472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11275129355472 is an abundant number, since it is smaller than the sum of its proper divisors (21088667869808).

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

11275129355472 is a wasteful number, since it uses less digits than its factorization.

11275129355472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26099836488 (or 26099836476 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 11275129355472 in words is "eleven trillion, two hundred seventy-five billion, one hundred twenty-nine million, three hundred fifty-five thousand, four hundred seventy-two".