27388005120 has 756 divisors, whose sum is σ = 114608919600. Its totient is φ = 6249664512.

The previous prime is 27388005097. The next prime is 27388005131. The reversal of 27388005120 is 2150088372.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 45722581 + ... + 45723179.

It is an arithmetic number, because the mean of its divisors is an integer number (151599100).

Almost surely, 2^27388005120 is an apocalyptic number.

27388005120 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 27388005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57304459800).

27388005120 is an abundant number, since it is smaller than the sum of its proper divisors (87220914480).

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

27388005120 is an frugal number, since it uses more digits than its factorization.

27388005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 27388005120 in words is "twenty-seven billion, three hundred eighty-eight million, five thousand, one hundred twenty".