27207156738304 has 81 divisors (see below), whose sum is σ = 55361049352329. Its totient is φ = 13344737203200.

The previous prime is 27207156738247. The next prime is 27207156738313. The reversal of 27207156738304 is 40383765170272.

The square root of 27207156738304 is 5216048.

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

It can be written as a sum of positive squares in only one way, i.e., 19613560838400 + 7593595899904 = 4428720^2 + 2755648^2 .

It is a super-3 number, since 3×27207156738304³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4423205629 + ... + 4423211779.

Almost surely, 2^{27207156738304} is an apocalyptic number.

27207156738304 is the 5216048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27207156738304

27207156738304 is an abundant number, since it is smaller than the sum of its proper divisors (28153892614025).

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

27207156738304 is an frugal number, since it uses more digits than its factorization.

27207156738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12424 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 27207156738304 in words is "twenty-seven trillion, two hundred seven billion, one hundred fifty-six million, seven hundred thirty-eight thousand, three hundred four".