27158710401 has 15 divisors (see below), whose sum is σ = 40572634993. Its totient is φ = 18104818140.

The previous prime is 27158710399. The next prime is 27158710427. The reversal of 27158710401 is 10401785172.

The square root of 27158710401 is 164799.

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

27158710401 is a `hidden beast` number, since 2 + 71 + 587 + 1 + 0 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 27158710401 - 2¹ = 27158710399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27158712401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1474036 + ... + 1492346.

Almost surely, 2^27158710401 is an apocalyptic number.

27158710401 is the 164799-th square number.

27158710401 is the 82400-th centered octagonal number.

It is an amenable number.

27158710401 is a deficient number, since it is larger than the sum of its proper divisors (13413924592).

27158710401 is an frugal number, since it uses more digits than its factorization.

27158710401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36634 (or 18314 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Multiplying 27158710401 by its sum of digits (36), we get a square (977713574436 = 988794²).

The spelling of 27158710401 in words is "twenty-seven billion, one hundred fifty-eight million, seven hundred ten thousand, four hundred one".