27060908004 has 405 divisors, whose sum is σ = 83090921067. Its totient is φ = 7675005312.

The previous prime is 27060907987. The next prime is 27060908009. The reversal of 27060908004 is 40080906072.

The square root of 27060908004 is 164502.

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

It can be written as a sum of positive squares in 4 ways, for example, as 112402404 + 26948505600 = 10602^2 + 164160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27060908004.

It is not an unprimeable number, because it can be changed into a prime (27060908009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 731375874 + ... + 731375910.

Almost surely, 2^27060908004 is an apocalyptic number.

27060908004 is the 164502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27060908004

27060908004 is an abundant number, since it is smaller than the sum of its proper divisors (56030013063).

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

27060908004 is a wasteful number, since it uses less digits than its factorization.

27060908004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 27060908004 by its sum of digits (36), we get a square (974192688144 = 987012²).

27060908004 divided by its sum of digits (36) gives a square (751691889 = 27417²).

The spelling of 27060908004 in words is "twenty-seven billion, sixty million, nine hundred eight thousand, four".