27388093824 has 768 divisors, whose sum is σ = 104291066880. Its totient is φ = 6700548096.

The previous prime is 27388093819. The next prime is 27388093883. The reversal of 27388093824 is 42839088372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89211879 + ... + 89212185.

It is an arithmetic number, because the mean of its divisors is an integer number (135795660).

Almost surely, 2^27388093824 is an apocalyptic number.

27388093824 is a gapful number since it is divisible by the number (24) 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 27388093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52145533440).

27388093824 is an abundant number, since it is smaller than the sum of its proper divisors (76902973056).

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

27388093824 is a wasteful number, since it uses less digits than its factorization.

27388093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 27388093824 in words is "twenty-seven billion, three hundred eighty-eight million, ninety-three thousand, eight hundred twenty-four".