27185645949 has 128 divisors (see below), whose sum is σ = 49158144000. Its totient is φ = 13209255360.

The previous prime is 27185645923. The next prime is 27185646011. The reversal of 27185645949 is 94954658172.

It is not a de Polignac number, because 27185645949 - 2¹³ = 27185637757 is a prime.

It is a super-2 number, since 2×27185645949² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27185645892 and 27185645901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27185645449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17849302 + ... + 17850824.

It is an arithmetic number, because the mean of its divisors is an integer number (384048000).

Almost surely, 2^27185645949 is an apocalyptic number.

It is an amenable number.

27185645949 is a deficient number, since it is larger than the sum of its proper divisors (21972498051).

27185645949 is a wasteful number, since it uses less digits than its factorization.

27185645949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1646 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 27185645949 in words is "twenty-seven billion, one hundred eighty-five million, six hundred forty-five thousand, nine hundred forty-nine".