27861147648 has 168 divisors, whose sum is σ = 84723046200. Its totient is φ = 8797814784.

The previous prime is 27861147581. The next prime is 27861147679. The reversal of 27861147648 is 84674116872.

27861147648 is a `hidden beast` number, since 2 + 78 + 61 + 1 + 476 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27861147594 and 27861147603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1390888 + ... + 1410776.

Almost surely, 2^27861147648 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 27861147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42361523100).

27861147648 is an abundant number, since it is smaller than the sum of its proper divisors (56861898552).

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

27861147648 is a wasteful number, since it uses less digits than its factorization.

27861147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19940 (or 19913 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 27861147648 in words is "twenty-seven billion, eight hundred sixty-one million, one hundred forty-seven thousand, six hundred forty-eight".