27057602621214 has 192 divisors, whose sum is σ = 65127850115328. Its totient is φ = 8049694118400.

The previous prime is 27057602621209. The next prime is 27057602621221. The reversal of 27057602621214 is 41212620675072.

27057602621214 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 7 + 6 + 0 + 2 + 621 + 2 + 14 = 666.

It is a super-2 number, since 2×27057602621214² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27057602621214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6317439517 + ... + 6317443799.

It is an arithmetic number, because the mean of its divisors is an integer number (339207552684).

Almost surely, 2^{27057602621214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27057602621214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32563925057664).

27057602621214 is an abundant number, since it is smaller than the sum of its proper divisors (38070247494114).

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

27057602621214 is a wasteful number, since it uses less digits than its factorization.

27057602621214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27057602621214 in words is "twenty-seven trillion, fifty-seven billion, six hundred two million, six hundred twenty-one thousand, two hundred fourteen".