11287271536272 has 120 divisors (see below), whose sum is σ = 32763043718496. Its totient is φ = 3761917468416.

The previous prime is 11287271536241. The next prime is 11287271536273. The reversal of 11287271536272 is 27263517278211.

11287271536272 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 7 + 2 + 7 + 1 + 5 + 3 + 627 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11287271536273) by changing a digit.

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, 29267803 + ... + 29650949.

Almost surely, 2^{11287271536272} is an apocalyptic number.

11287271536272 is a gapful number since it is divisible by the number (12) 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 11287271536272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381521859248).

11287271536272 is an abundant number, since it is smaller than the sum of its proper divisors (21475772182224).

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

11287271536272 is an equidigital number, since it uses as much as digits as its factorization.

11287271536272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390747 (or 390729 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 11287271536272 in words is "eleven trillion, two hundred eighty-seven billion, two hundred seventy-one million, five hundred thirty-six thousand, two hundred seventy-two".