27308093904 has 480 divisors, whose sum is σ = 97503870464. Its totient is φ = 6942412800.

The previous prime is 27308093903. The next prime is 27308093909. The reversal of 27308093904 is 40939080372.

It is a happy number.

It is a super-2 number, since 2×27308093904² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27308093904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27308093903) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 73211862 + ... + 73212234.

Almost surely, 2^27308093904 is an apocalyptic number.

27308093904 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 27308093904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48751935232).

27308093904 is an abundant number, since it is smaller than the sum of its proper divisors (70195776560).

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

27308093904 is a wasteful number, since it uses less digits than its factorization.

27308093904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 27308093904 in words is "twenty-seven billion, three hundred eight million, ninety-three thousand, nine hundred four".