27688058310 has 128 divisors (see below), whose sum is σ = 73907458560. Its totient is φ = 6582297600.

The previous prime is 27688058303. The next prime is 27688058311. The reversal of 27688058310 is 1385088672.

It is a super-2 number, since 2×27688058310² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27688058310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27688058311) 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 63 ways as a sum of consecutive naturals, for example, 4308900 + ... + 4315320.

It is an arithmetic number, because the mean of its divisors is an integer number (577402020).

Almost surely, 2^27688058310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27688058310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36953729280).

27688058310 is an abundant number, since it is smaller than the sum of its proper divisors (46219400250).

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

27688058310 is a wasteful number, since it uses less digits than its factorization.

27688058310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694.

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 27688058310 in words is "twenty-seven billion, six hundred eighty-eight million, fifty-eight thousand, three hundred ten".