27725464544 has 96 divisors (see below), whose sum is σ = 59465871360. Its totient is φ = 12676262400.

The previous prime is 27725464519. The next prime is 27725464549. The reversal of 27725464544 is 44546452772.

It is a super-2 number, since 2×27725464544² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27725464492 and 27725464501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27725464549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8121782 + ... + 8125194.

It is an arithmetic number, because the mean of its divisors is an integer number (619436160).

Almost surely, 2^27725464544 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 27725464544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29732935680).

27725464544 is an abundant number, since it is smaller than the sum of its proper divisors (31740406816).

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

27725464544 is a wasteful number, since it uses less digits than its factorization.

27725464544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3896 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 50.

The spelling of 27725464544 in words is "twenty-seven billion, seven hundred twenty-five million, four hundred sixty-four thousand, five hundred forty-four".