27954192961 has 16 divisors (see below), whose sum is σ = 28713081600. Its totient is φ = 27202595328.

The previous prime is 27954192953. The next prime is 27954192971. The reversal of 27954192961 is 16929145972.

It is a happy number.

It is not a de Polignac number, because 27954192961 - 2³ = 27954192953 is a prime.

It is a super-3 number, since 3×27954192961³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27954192911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6768145 + ... + 6772273.

It is an arithmetic number, because the mean of its divisors is an integer number (1794567600).

Almost surely, 2^27954192961 is an apocalyptic number.

It is an amenable number.

27954192961 is a deficient number, since it is larger than the sum of its proper divisors (758888639).

27954192961 is a wasteful number, since it uses less digits than its factorization.

27954192961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968.

The product of its digits is 2449440, while the sum is 55.

The spelling of 27954192961 in words is "twenty-seven billion, nine hundred fifty-four million, one hundred ninety-two thousand, nine hundred sixty-one".