27855013536 has 960 divisors, whose sum is σ = 107575776000. Its totient is φ = 7023034368.

The previous prime is 27855013481. The next prime is 27855013573. The reversal of 27855013536 is 63531055872.

27855013536 is a `hidden beast` number, since 2 + 7 + 85 + 501 + 35 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27855013491 and 27855013500.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 287165040 + ... + 287165136.

It is an arithmetic number, because the mean of its divisors is an integer number (112058100).

Almost surely, 2^27855013536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27855013536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53787888000).

27855013536 is an abundant number, since it is smaller than the sum of its proper divisors (79720762464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27855013536 is a wasteful number, since it uses less digits than its factorization.

27855013536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 27855013536 in words is "twenty-seven billion, eight hundred fifty-five million, thirteen thousand, five hundred thirty-six".