27760243752 has 128 divisors (see below), whose sum is σ = 80395286400. Its totient is φ = 8867529216.

The previous prime is 27760243751. The next prime is 27760243769. The reversal of 27760243752 is 25734206772.

27760243752 is a `hidden beast` number, since 2 + 7 + 7 + 602 + 4 + 37 + 5 + 2 = 666.

It is a super-2 number, since 2×27760243752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27760243698 and 27760243707.

It is not an unprimeable number, because it can be changed into a prime (27760243751) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 464068 + ... + 520460.

It is an arithmetic number, because the mean of its divisors is an integer number (628088175).

Almost surely, 2^27760243752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27760243752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40197643200).

27760243752 is an abundant number, since it is smaller than the sum of its proper divisors (52635042648).

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

27760243752 is a wasteful number, since it uses less digits than its factorization.

27760243752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56504 (or 56494 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 27760243752 in words is "twenty-seven billion, seven hundred sixty million, two hundred forty-three thousand, seven hundred fifty-two".