27724290048 has 288 divisors, whose sum is σ = 98557149600. Its totient is φ = 7311458304.

The previous prime is 27724290001. The next prime is 27724290079. The reversal of 27724290048 is 84009242772.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 27724289985 and 27724290012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1669048 + ... + 1685576.

It is an arithmetic number, because the mean of its divisors is an integer number (342212325).

Almost surely, 2^27724290048 is an apocalyptic number.

27724290048 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 27724290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49278574800).

27724290048 is an abundant number, since it is smaller than the sum of its proper divisors (70832859552).

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

27724290048 is a wasteful number, since it uses less digits than its factorization.

27724290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16577 (or 16554 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27724290048 in words is "twenty-seven billion, seven hundred twenty-four million, two hundred ninety thousand, forty-eight".