27087278400 has 756 divisors, whose sum is σ = 120648561852. Its totient is φ = 5713182720.

The previous prime is 27087278399. The next prime is 27087278417. The reversal of 27087278400 is 487278072.

It can be written as a sum of positive squares in 6 ways, for example, as 749883456 + 26337394944 = 27384^2 + 162288^2 .

It is a super-2 number, since 2×27087278400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 9171324 + ... + 9174276.

Almost surely, 2^27087278400 is an apocalyptic number.

27087278400 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 27087278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60324280926).

27087278400 is an abundant number, since it is smaller than the sum of its proper divisors (93561283452).

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

27087278400 is a wasteful number, since it uses less digits than its factorization.

27087278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 27087278400 in words is "twenty-seven billion, eighty-seven million, two hundred seventy-eight thousand, four hundred".