27213833689344 has 405 divisors, whose sum is σ = 86241319291281. Its totient is φ = 8533666897920.

The previous prime is 27213833689333. The next prime is 27213833689391. The reversal of 27213833689344 is 44398633831272.

The square root of 27213833689344 is 5216688.

It is a perfect power (a square), and thus also a powerful number.

27213833689344 is a `hidden beast` number, since 2 + 7 + 213 + 8 + 336 + 89 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21187240761600 + 6026592927744 = 4602960^2 + 2454912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12770451159 + ... + 12770453289.

Almost surely, 2^{27213833689344} is an apocalyptic number.

27213833689344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27213833689344 is the 5216688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27213833689344

27213833689344 is an abundant number, since it is smaller than the sum of its proper divisors (59027485601937).

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

27213833689344 is an frugal number, since it uses more digits than its factorization.

27213833689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 2153 counting only the distinct ones).

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

The spelling of 27213833689344 in words is "twenty-seven trillion, two hundred thirteen billion, eight hundred thirty-three million, six hundred eighty-nine thousand, three hundred forty-four".