27242341655360 has 56 divisors (see below), whose sum is σ = 69860889621096. Its totient is φ = 10058710763520.

The previous prime is 27242341655341. The next prime is 27242341655429. The reversal of 27242341655360 is 6355614324272.

It can be written as a sum of positive squares in 4 ways, for example, as 4713345208576 + 22528996446784 = 2171024^2 + 4746472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27242341655299 and 27242341655308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3274315751 + ... + 3274324070.

It is an arithmetic number, because the mean of its divisors is an integer number (1247515886091).

Almost surely, 2^{27242341655360} is an apocalyptic number.

27242341655360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27242341655360 is an abundant number, since it is smaller than the sum of its proper divisors (42618547965736).

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

27242341655360 is a wasteful number, since it uses less digits than its factorization.

27242341655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548639851 (or 6548639841 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 50.

The spelling of 27242341655360 in words is "twenty-seven trillion, two hundred forty-two billion, three hundred forty-one million, six hundred fifty-five thousand, three hundred sixty".