27254944761 has 32 divisors (see below), whose sum is σ = 39806333952. Its totient is φ = 16450464960.

The previous prime is 27254944741. The next prime is 27254944781. The reversal of 27254944761 is 16744945272.

It is an interprime number because it is at equal distance from previous prime (27254944741) and next prime (27254944781).

It is not a de Polignac number, because 27254944761 - 2¹⁷ = 27254813689 is a prime.

It is a super-4 number, since 4×27254944761⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (27254944741) 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 31 ways as a sum of consecutive naturals, for example, 13083426 + ... + 13085508.

It is an arithmetic number, because the mean of its divisors is an integer number (1243947936).

Almost surely, 2^27254944761 is an apocalyptic number.

It is an amenable number.

27254944761 is a deficient number, since it is larger than the sum of its proper divisors (12551389191).

27254944761 is a wasteful number, since it uses less digits than its factorization.

27254944761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533.

The product of its digits is 3386880, while the sum is 51.

The spelling of 27254944761 in words is "twenty-seven billion, two hundred fifty-four million, nine hundred forty-four thousand, seven hundred sixty-one".