27960966045 has 64 divisors (see below), whose sum is σ = 51132046080. Its totient is φ = 14486688000.

The previous prime is 27960966043. The next prime is 27960966113. The reversal of 27960966045 is 54066906972.

27960966045 is a `hidden beast` number, since 27 + 9 + 6 + 0 + 9 + 6 + 604 + 5 = 666.

It is not a de Polignac number, because 27960966045 - 2¹ = 27960966043 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27960965982 and 27960966000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27960966043) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3447495 + ... + 3455595.

It is an arithmetic number, because the mean of its divisors is an integer number (798938220).

Almost surely, 2^27960966045 is an apocalyptic number.

It is an amenable number.

27960966045 is a deficient number, since it is larger than the sum of its proper divisors (23171080035).

27960966045 is a wasteful number, since it uses less digits than its factorization.

27960966045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 27960966045 in words is "twenty-seven billion, nine hundred sixty million, nine hundred sixty-six thousand, forty-five".