27815040000 has 660 divisors, whose sum is σ = 109735248480. Its totient is φ = 6727680000.

The previous prime is 27815039999. The next prime is 27815040031. The reversal of 27815040000 is 4051872.

It is a tau number, because it is divible by the number of its divisors (660).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 63359781 + ... + 63360219.

It is an arithmetic number, because the mean of its divisors is an integer number (166265528).

Almost surely, 2^27815040000 is an apocalyptic number.

27815040000 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 27815040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867624240).

27815040000 is an abundant number, since it is smaller than the sum of its proper divisors (81920208480).

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

27815040000 is a wasteful number, since it uses less digits than its factorization.

27815040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 27815040000 its reverse (4051872), we get a palindrome (27819091872).

The spelling of 27815040000 in words is "twenty-seven billion, eight hundred fifteen million, forty thousand".