27656002000 has 120 divisors (see below), whose sum is σ = 73504811016. Its totient is φ = 10056640000.

The previous prime is 27656001929. The next prime is 27656002013. The reversal of 27656002000 is 20065672.

It can be written as a sum of positive squares in 4 ways, for example, as 604963216 + 27051038784 = 24596^2 + 164472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27656002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184860 + ... + 299140.

Almost surely, 2^27656002000 is an apocalyptic number.

27656002000 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 27656002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36752405508).

27656002000 is an abundant number, since it is smaller than the sum of its proper divisors (45848809016).

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

27656002000 is a wasteful number, since it uses less digits than its factorization.

27656002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114326 (or 114299 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 27656002000 its reverse (20065672), we get a palindrome (27676067672).

The spelling of 27656002000 in words is "twenty-seven billion, six hundred fifty-six million, two thousand".