27216263886336 has 1440 divisors, whose sum is σ = 96949939806720. Its totient is φ = 7598421540864.

The previous prime is 27216263886241. The next prime is 27216263886367. The reversal of 27216263886336 is 63368836261272.

27216263886336 is a `hidden beast` number, since 2 + 7 + 2 + 162 + 6 + 388 + 63 + 36 = 666.

It is a super-4 number, since 4×27216263886336⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 55885551885 + ... + 55885552371.

It is an arithmetic number, because the mean of its divisors is an integer number (67326347088).

Almost surely, 2^{27216263886336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27216263886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48474969903360).

27216263886336 is an abundant number, since it is smaller than the sum of its proper divisors (69733675920384).

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

27216263886336 is an equidigital number, since it uses as much as digits as its factorization.

27216263886336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 691 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 27216263886336 in words is "twenty-seven trillion, two hundred sixteen billion, two hundred sixty-three million, eight hundred eighty-six thousand, three hundred thirty-six".