27485275200 has 168 divisors, whose sum is σ = 90487000128. Its totient is φ = 7304017920.

The previous prime is 27485275199. The next prime is 27485275201. The reversal of 27485275200 is 257258472.

It is an interprime number because it is at equal distance from previous prime (27485275199) and next prime (27485275201).

It is not an unprimeable number, because it can be changed into a prime (27485275201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1396629 + ... + 1416171.

It is an arithmetic number, because the mean of its divisors is an integer number (538613096).

Almost surely, 2^27485275200 is an apocalyptic number.

27485275200 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 27485275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45243500064).

27485275200 is an abundant number, since it is smaller than the sum of its proper divisors (63001724928).

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

27485275200 is a wasteful number, since it uses less digits than its factorization.

27485275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19861 (or 19846 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 27485275200 in words is "twenty-seven billion, four hundred eighty-five million, two hundred seventy-five thousand, two hundred".