27851483961 has 40 divisors (see below), whose sum is σ = 47690339840. Its totient is φ = 15867798912.

The previous prime is 27851483953. The next prime is 27851483969. The reversal of 27851483961 is 16938415872.

27851483961 is a `hidden beast` number, since 2 + 78 + 5 + 1 + 483 + 96 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (27851483953) and next prime (27851483969).

It is not a de Polignac number, because 27851483961 - 2³ = 27851483953 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27851483898 and 27851483907.

It is not an unprimeable number, because it can be changed into a prime (27851483969) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118200 + ... + 263958.

It is an arithmetic number, because the mean of its divisors is an integer number (1192258496).

Almost surely, 2^27851483961 is an apocalyptic number.

27851483961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27851483961 is a deficient number, since it is larger than the sum of its proper divisors (19838855879).

27851483961 is a wasteful number, since it uses less digits than its factorization.

27851483961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146115 (or 146106 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 27851483961 in words is "twenty-seven billion, eight hundred fifty-one million, four hundred eighty-three thousand, nine hundred sixty-one".