27804317541 has 48 divisors (see below), whose sum is σ = 50049123840. Its totient is φ = 13332720960.

The previous prime is 27804317537. The next prime is 27804317549. The reversal of 27804317541 is 14571340872.

It is not a de Polignac number, because 27804317541 - 2² = 27804317537 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27804317493 and 27804317502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27804317549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317071 + ... + 395148.

It is an arithmetic number, because the mean of its divisors is an integer number (1042690080).

Almost surely, 2^27804317541 is an apocalyptic number.

27804317541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27804317541 is a deficient number, since it is larger than the sum of its proper divisors (22244806299).

27804317541 is a wasteful number, since it uses less digits than its factorization.

27804317541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712266 (or 712253 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 27804317541 in words is "twenty-seven billion, eight hundred four million, three hundred seventeen thousand, five hundred forty-one".