27307225400320 has 704 divisors, whose sum is σ = 71293295923200. Its totient is φ = 10012262400000.

The previous prime is 27307225400311. The next prime is 27307225400369. The reversal of 27307225400320 is 2300452270372.

It is a super-2 number, since 2×27307225400320² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27307225400320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70198522686 + ... + 70198523074.

Almost surely, 2^{27307225400320} is an apocalyptic number.

27307225400320 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 27307225400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35646647961600).

27307225400320 is an abundant number, since it is smaller than the sum of its proper divisors (43986070522880).

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

27307225400320 is a wasteful number, since it uses less digits than its factorization.

27307225400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 37.

Adding to 27307225400320 its reverse (2300452270372), we get a palindrome (29607677670692).

The spelling of 27307225400320 in words is "twenty-seven trillion, three hundred seven billion, two hundred twenty-five million, four hundred thousand, three hundred twenty".