27657798240 has 192 divisors, whose sum is σ = 90512916480. Its totient is φ = 7091435520.

The previous prime is 27657798221. The next prime is 27657798251. The reversal of 27657798240 is 4289775672.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330241 + ... + 2342079.

It is an arithmetic number, because the mean of its divisors is an integer number (471421440).

Almost surely, 2^27657798240 is an apocalyptic number.

27657798240 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 27657798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45256458240).

27657798240 is an abundant number, since it is smaller than the sum of its proper divisors (62855118240).

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

27657798240 is a wasteful number, since it uses less digits than its factorization.

27657798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 27657798240 in words is "twenty-seven billion, six hundred fifty-seven million, seven hundred ninety-eight thousand, two hundred forty".