27505400000 has 336 divisors, whose sum is σ = 75004574400. Its totient is φ = 9945600000.

The previous prime is 27505399997. The next prime is 27505400003. The reversal of 27505400000 is 450572.

It is an interprime number because it is at equal distance from previous prime (27505399997) and next prime (27505400003).

It is not an unprimeable number, because it can be changed into a prime (27505400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184599926 + ... + 184600074.

It is an arithmetic number, because the mean of its divisors is an integer number (223227900).

Almost surely, 2^27505400000 is an apocalyptic number.

27505400000 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 27505400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37502287200).

27505400000 is an abundant number, since it is smaller than the sum of its proper divisors (47499174400).

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

27505400000 is an equidigital number, since it uses as much as digits as its factorization.

27505400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

Adding to 27505400000 its reverse (450572), we get a palindrome (27505850572).

The spelling of 27505400000 in words is "twenty-seven billion, five hundred five million, four hundred thousand".