27556578318096 has 135 divisors (see below), whose sum is σ = 77354444350911. Its totient is φ = 9157704095232.

The previous prime is 27556578317953. The next prime is 27556578318097. The reversal of 27556578318096 is 69081387565572.

The square root of 27556578318096 is 5249436.

It is a perfect power (a square), and thus also a powerful number.

27556578318096 is a `hidden beast` number, since 2 + 7 + 556 + 57 + 8 + 3 + 18 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20151300560400 + 7405277757696 = 4489020^2 + 2721264^2 .

It is a super-2 number, since 2×27556578318096² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (27556578318097) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38866823790 + ... + 38866824498.

Almost surely, 2^{27556578318096} is an apocalyptic number.

27556578318096 is the 5249436-th square number.

It is an amenable number.

27556578318096 is an abundant number, since it is smaller than the sum of its proper divisors (49797866032815).

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

27556578318096 is an frugal number, since it uses more digits than its factorization.

27556578318096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 27556578318096 in words is "twenty-seven trillion, five hundred fifty-six billion, five hundred seventy-eight million, three hundred eighteen thousand, ninety-six".