27224211456 has 384 divisors, whose sum is σ = 88167119040. Its totient is φ = 8344829952.

The previous prime is 27224211431. The next prime is 27224211457. The reversal of 27224211456 is 65411242272.

27224211456 is a `hidden beast` number, since 272 + 242 + 1 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 27224211456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27224211457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103513981 + ... + 103514243.

Almost surely, 2^27224211456 is an apocalyptic number.

27224211456 is a gapful number since it is divisible by the number (26) 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 27224211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44083559520).

27224211456 is an abundant number, since it is smaller than the sum of its proper divisors (60942907584).

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

27224211456 is an frugal number, since it uses more digits than its factorization.

27224211456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 281 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The spelling of 27224211456 in words is "twenty-seven billion, two hundred twenty-four million, two hundred eleven thousand, four hundred fifty-six".