27842786048 has 288 divisors, whose sum is σ = 77245539840. Its totient is φ = 9670164480.

The previous prime is 27842786003. The next prime is 27842786051. The reversal of 27842786048 is 84068724872.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 27842785984 and 27842786002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6364790 + ... + 6369162.

It is an arithmetic number, because the mean of its divisors is an integer number (268213680).

Almost surely, 2^27842786048 is an apocalyptic number.

27842786048 is a gapful number since it is divisible by the number (28) 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 27842786048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38622769920).

27842786048 is an abundant number, since it is smaller than the sum of its proper divisors (49402753792).

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

27842786048 is a wasteful number, since it uses less digits than its factorization.

27842786048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 56.

The spelling of 27842786048 in words is "twenty-seven billion, eight hundred forty-two million, seven hundred eighty-six thousand, forty-eight".