27522040320 has 240 divisors, whose sum is σ = 95968243800. Its totient is φ = 7289044992.

The previous prime is 27522040319. The next prime is 27522040321. The reversal of 27522040320 is 2304022572.

It is an interprime number because it is at equal distance from previous prime (27522040319) and next prime (27522040321).

It can be written as a sum of positive squares in 4 ways, for example, as 17640089856 + 9881950464 = 132816^2 + 99408^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (27522040321) 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, 3428952 + ... + 3436968.

Almost surely, 2^27522040320 is an apocalyptic number.

27522040320 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 27522040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47984121900).

27522040320 is an abundant number, since it is smaller than the sum of its proper divisors (68446203480).

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

27522040320 is a wasteful number, since it uses less digits than its factorization.

27522040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8195 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 27522040320 its reverse (2304022572), we get a palindrome (29826062892).

The spelling of 27522040320 in words is "twenty-seven billion, five hundred twenty-two million, forty thousand, three hundred twenty".