27197234122752 has 468 divisors, whose sum is σ = 83374112581500. Its totient is φ = 8535773675520.

The previous prime is 27197234122697. The next prime is 27197234122753. The reversal of 27197234122752 is 25722143279172.

27197234122752 is a `hidden beast` number, since 2 + 7 + 1 + 9 + 72 + 341 + 227 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11389167046656 + 15808067076096 = 3374784^2 + 3975936^2 .

It is not an unprimeable number, because it can be changed into a prime (27197234122753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1310762874 + ... + 1310783622.

Almost surely, 2^{27197234122752} 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 27197234122752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41687056290750).

27197234122752 is an abundant number, since it is smaller than the sum of its proper divisors (56176878458748).

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

27197234122752 is a wasteful number, since it uses less digits than its factorization.

27197234122752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20878 (or 20822 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 27197234122752 in words is "twenty-seven trillion, one hundred ninety-seven billion, two hundred thirty-four million, one hundred twenty-two thousand, seven hundred fifty-two".