27768385140 has 96 divisors (see below), whose sum is σ = 82364688000. Its totient is φ = 6965968896.

The previous prime is 27768385121. The next prime is 27768385159. The reversal of 27768385140 is 4158386772.

It is an interprime number because it is at equal distance from previous prime (27768385121) and next prime (27768385159).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2639611 + ... + 2650109.

It is an arithmetic number, because the mean of its divisors is an integer number (857965500).

Almost surely, 2^27768385140 is an apocalyptic number.

27768385140 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 27768385140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41182344000).

27768385140 is an abundant number, since it is smaller than the sum of its proper divisors (54596302860).

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

27768385140 is a wasteful number, since it uses less digits than its factorization.

27768385140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121 (or 13119 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 27768385140 in words is "twenty-seven billion, seven hundred sixty-eight million, three hundred eighty-five thousand, one hundred forty".