27848396160 has 960 divisors, whose sum is σ = 113241799440. Its totient is φ = 6479585280.

The previous prime is 27848396153. The next prime is 27848396171. The reversal of 27848396160 is 6169384872.

27848396160 is a `hidden beast` number, since 2 + 78 + 483 + 96 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27848396097 and 27848396106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 647637099 + ... + 647637141.

Almost surely, 2^27848396160 is an apocalyptic number.

27848396160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27848396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56620899720).

27848396160 is an abundant number, since it is smaller than the sum of its proper divisors (85393403280).

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

27848396160 is a wasteful number, since it uses less digits than its factorization.

27848396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27848396160 in words is "twenty-seven billion, eight hundred forty-eight million, three hundred ninety-six thousand, one hundred sixty".