11284216272 has 360 divisors, whose sum is σ = 38761081632. Its totient is φ = 3167942400.

The previous prime is 11284216253. The next prime is 11284216297. The reversal of 11284216272 is 27261248211.

11284216272 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 4 + 21 + 627 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11620747 + ... + 11621717.

Almost surely, 2^11284216272 is an apocalyptic number.

11284216272 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 11284216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380540816).

11284216272 is an abundant number, since it is smaller than the sum of its proper divisors (27476865360).

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

11284216272 is an equidigital number, since it uses as much as digits as its factorization.

11284216272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1044 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The spelling of 11284216272 in words is "eleven billion, two hundred eighty-four million, two hundred sixteen thousand, two hundred seventy-two".