27918054000 has 640 divisors, whose sum is σ = 104527238400. Its totient is φ = 7116595200.

The previous prime is 27918053987. The next prime is 27918054001. The reversal of 27918054000 is 45081972.

27918054000 is a `hidden beast` number, since 2 + 79 + 180 + 5 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27918054001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 177821922 + ... + 177822078.

It is an arithmetic number, because the mean of its divisors is an integer number (163323810).

Almost surely, 2^27918054000 is an apocalyptic number.

27918054000 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 27918054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52263619200).

27918054000 is an abundant number, since it is smaller than the sum of its proper divisors (76609184400).

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

27918054000 is a wasteful number, since it uses less digits than its factorization.

27918054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 27918054000 in words is "twenty-seven billion, nine hundred eighteen million, fifty-four thousand".