27418765920 has 384 divisors, whose sum is σ = 109734912000. Its totient is φ = 5598167040.

The previous prime is 27418765919. The next prime is 27418765939. The reversal of 27418765920 is 2956781472.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 1343956 + ... + 1364204.

It is an arithmetic number, because the mean of its divisors is an integer number (285768000).

Almost surely, 2^27418765920 is an apocalyptic number.

27418765920 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 27418765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456000).

27418765920 is an abundant number, since it is smaller than the sum of its proper divisors (82316146080).

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

27418765920 is a wasteful number, since it uses less digits than its factorization.

27418765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20318 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 27418765920 in words is "twenty-seven billion, four hundred eighteen million, seven hundred sixty-five thousand, nine hundred twenty".