27820695552 has 336 divisors, whose sum is σ = 84052915968. Its totient is φ = 8127774720.

The previous prime is 27820695523. The next prime is 27820695563. The reversal of 27820695552 is 25559602872.

It is a super-2 number, since 2×27820695552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27820695495 and 27820695504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524918758 + ... + 524918810.

It is an arithmetic number, because the mean of its divisors is an integer number (250157488).

Almost surely, 2^27820695552 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 27820695552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42026457984).

27820695552 is an abundant number, since it is smaller than the sum of its proper divisors (56232220416).

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

27820695552 is an equidigital number, since it uses as much as digits as its factorization.

27820695552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 27820695552 in words is "twenty-seven billion, eight hundred twenty million, six hundred ninety-five thousand, five hundred fifty-two".