27011948079204 has 135 divisors (see below), whose sum is σ = 77620622711401. Its totient is φ = 8185126973760.

The previous prime is 27011948079157. The next prime is 27011948079251. The reversal of 27011948079204 is 40297084911072.

The square root of 27011948079204 is 5197302.

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

27011948079204 is a `hidden beast` number, since 2 + 70 + 1 + 1 + 9 + 480 + 7 + 92 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (27011948079157) and next prime (27011948079251).

It can be written as a sum of positive squares in only one way, i.e., 20827375944804 + 6184572134400 = 4563702^2 + 2486880^2 .

It is a super-2 number, since 2×27011948079204² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 1029052672 + ... + 1029078920.

Almost surely, 2^{27011948079204} is an apocalyptic number.

27011948079204 is the 5197302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27011948079204

27011948079204 is an abundant number, since it is smaller than the sum of its proper divisors (50608674632197).

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

27011948079204 is an frugal number, since it uses more digits than its factorization.

27011948079204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52536 (or 26265 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 27011948079204 in words is "twenty-seven trillion, eleven billion, nine hundred forty-eight million, seventy-nine thousand, two hundred four".