27131675542272 has 540 divisors, whose sum is σ = 94654798562016. Its totient is φ = 7707048652800.

The previous prime is 27131675542249. The next prime is 27131675542273. The reversal of 27131675542272 is 27224557613172.

27131675542272 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 1 + 6 + 75 + 542 + 27 + 2 = 666.

It is a super-2 number, since 2×27131675542272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27131675542273) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 175701897 + ... + 175856247.

Almost surely, 2^{27131675542272} 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 27131675542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47327399281008).

27131675542272 is an abundant number, since it is smaller than the sum of its proper divisors (67523123019744).

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

27131675542272 is a wasteful number, since it uses less digits than its factorization.

27131675542272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154566 (or 154536 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The spelling of 27131675542272 in words is "twenty-seven trillion, one hundred thirty-one billion, six hundred seventy-five million, five hundred forty-two thousand, two hundred seventy-two".