27226344271104 has 576 divisors, whose sum is σ = 90684497756160. Its totient is φ = 7985682432000.

The previous prime is 27226344271033. The next prime is 27226344271111. The reversal of 27226344271104 is 40117244362272.

27226344271104 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 634 + 4 + 2 + 7 + 1 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 27226344271104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395864239 + ... + 395933009.

It is an arithmetic number, because the mean of its divisors is an integer number (157438364160).

Almost surely, 2^{27226344271104} is an apocalyptic number.

27226344271104 is a gapful number since it is divisible by the number (24) 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 27226344271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45342248878080).

27226344271104 is an abundant number, since it is smaller than the sum of its proper divisors (63458153485056).

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

27226344271104 is a wasteful number, since it uses less digits than its factorization.

27226344271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68975 (or 68955 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 27226344271104 in words is "twenty-seven trillion, two hundred twenty-six billion, three hundred forty-four million, two hundred seventy-one thousand, one hundred four".