27765939360 has 192 divisors, whose sum is σ = 89669099520. Its totient is φ = 7218140160.

The previous prime is 27765939359. The next prime is 27765939361. The reversal of 27765939360 is 6393956772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27765939359) and next prime (27765939361).

It is a self number, because there is not a number n which added to its sum of digits gives 27765939360.

It is not an unprimeable number, because it can be changed into a prime (27765939361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14839225 + ... + 14841095.

It is an arithmetic number, because the mean of its divisors is an integer number (467026560).

Almost surely, 2^27765939360 is an apocalyptic number.

27765939360 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 27765939360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44834549760).

27765939360 is an abundant number, since it is smaller than the sum of its proper divisors (61903160160).

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

27765939360 is a wasteful number, since it uses less digits than its factorization.

27765939360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 57.

The spelling of 27765939360 in words is "twenty-seven billion, seven hundred sixty-five million, nine hundred thirty-nine thousand, three hundred sixty".