27078586440 has 256 divisors, whose sum is σ = 88740576000. Its totient is φ = 6584094720.

The previous prime is 27078586417. The next prime is 27078586441. The reversal of 27078586440 is 4468587072.

It is not an unprimeable number, because it can be changed into a prime (27078586441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35770542 + ... + 35771298.

It is an arithmetic number, because the mean of its divisors is an integer number (346642875).

Almost surely, 2^27078586440 is an apocalyptic number.

27078586440 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 27078586440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44370288000).

27078586440 is an abundant number, since it is smaller than the sum of its proper divisors (61661989560).

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

27078586440 is a wasteful number, since it uses less digits than its factorization.

27078586440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 27078586440 in words is "twenty-seven billion, seventy-eight million, five hundred eighty-six thousand, four hundred forty".