27143482752 has 512 divisors, whose sum is σ = 90419328000. Its totient is φ = 7970586624.

The previous prime is 27143482679. The next prime is 27143482753. The reversal of 27143482752 is 25728434172.

27143482752 is a `hidden beast` number, since 2 + 71 + 434 + 82 + 75 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27143482698 and 27143482707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27143482753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71618499 + ... + 71618877.

It is an arithmetic number, because the mean of its divisors is an integer number (176600250).

Almost surely, 2^27143482752 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 27143482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45209664000).

27143482752 is an abundant number, since it is smaller than the sum of its proper divisors (63275845248).

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

27143482752 is a wasteful number, since it uses less digits than its factorization.

27143482752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 27143482752 in words is "twenty-seven billion, one hundred forty-three million, four hundred eighty-two thousand, seven hundred fifty-two".