27150201683712 has 216 divisors, whose sum is σ = 79059456473088. Its totient is φ = 8960079513600.

The previous prime is 27150201683659. The next prime is 27150201683791. The reversal of 27150201683712 is 21738610205172.

27150201683712 is a `hidden beast` number, since 2 + 7 + 15 + 0 + 201 + 68 + 371 + 2 = 666.

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, 1241368137 + ... + 1241390007.

Almost surely, 2^{27150201683712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27150201683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39529728236544).

27150201683712 is an abundant number, since it is smaller than the sum of its proper divisors (51909254789376).

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

27150201683712 is a wasteful number, since it uses less digits than its factorization.

27150201683712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27227 (or 27210 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

Adding to 27150201683712 its reverse (21738610205172), we get a palindrome (48888811888884).

The spelling of 27150201683712 in words is "twenty-seven trillion, one hundred fifty billion, two hundred one million, six hundred eighty-three thousand, seven hundred twelve".