27395991440 has 160 divisors (see below), whose sum is σ = 68117068800. Its totient is φ = 10228377600.

The previous prime is 27395991409. The next prime is 27395991461. The reversal of 27395991440 is 4419959372.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10074401 + ... + 10077119.

It is an arithmetic number, because the mean of its divisors is an integer number (425731680).

Almost surely, 2^27395991440 is an apocalyptic number.

27395991440 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 27395991440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34058534400).

27395991440 is an abundant number, since it is smaller than the sum of its proper divisors (40721077360).

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

27395991440 is a wasteful number, since it uses less digits than its factorization.

27395991440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 27395991440 in words is "twenty-seven billion, three hundred ninety-five million, nine hundred ninety-one thousand, four hundred forty".