27860797440 has 576 divisors, whose sum is σ = 116214134400. Its totient is φ = 6030360576.

The previous prime is 27860797439. The next prime is 27860797441. The reversal of 27860797440 is 4479706872.

27860797440 is a `hidden beast` number, since 2 + 78 + 60 + 79 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (27860797439) and next prime (27860797441).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27860797441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12256144 + ... + 12258416.

It is an arithmetic number, because the mean of its divisors is an integer number (201760650).

Almost surely, 2^27860797440 is an apocalyptic number.

27860797440 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 27860797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58107067200).

27860797440 is an abundant number, since it is smaller than the sum of its proper divisors (88353336960).

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

27860797440 is a wasteful number, since it uses less digits than its factorization.

27860797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 27860797440 in words is "twenty-seven billion, eight hundred sixty million, seven hundred ninety-seven thousand, four hundred forty".