27745641352 has 64 divisors (see below), whose sum is σ = 61158888000. Its totient is φ = 11633744640.

The previous prime is 27745641317. The next prime is 27745641373. The reversal of 27745641352 is 25314654772.

It is a super-2 number, since 2×27745641352² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1899774 + ... + 1914322.

It is an arithmetic number, because the mean of its divisors is an integer number (955607625).

Almost surely, 2^27745641352 is an apocalyptic number.

27745641352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27745641352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579444000).

27745641352 is an abundant number, since it is smaller than the sum of its proper divisors (33413246648).

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

27745641352 is a wasteful number, since it uses less digits than its factorization.

27745641352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16242 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 46.

The spelling of 27745641352 in words is "twenty-seven billion, seven hundred forty-five million, six hundred forty-one thousand, three hundred fifty-two".