27642304515000 has 640 divisors, whose sum is σ = 99234940654080. Its totient is φ = 6283526400000.

The previous prime is 27642304514987. The next prime is 27642304515061. The reversal of 27642304515000 is 51540324672.

It is a self number, because there is not a number n which added to its sum of digits gives 27642304515000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18055064235 + ... + 18055065765.

It is an arithmetic number, because the mean of its divisors is an integer number (155054594772).

Almost surely, 2^{27642304515000} is an apocalyptic number.

27642304515000 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 27642304515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49617470327040).

27642304515000 is an abundant number, since it is smaller than the sum of its proper divisors (71592636139080).

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

27642304515000 is a wasteful number, since it uses less digits than its factorization.

27642304515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

Adding to 27642304515000 its reverse (51540324672), we get a palindrome (27693844839672).

The spelling of 27642304515000 in words is "twenty-seven trillion, six hundred forty-two billion, three hundred four million, five hundred fifteen thousand".