27949136247936 has 1024 divisors, whose sum is σ = 91446312960000. Its totient is φ = 8370086400000.

The previous prime is 27949136247911. The next prime is 27949136247937. The reversal of 27949136247936 is 63974263194972.

27949136247936 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 91 + 3 + 62 + 479 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (27949136247937) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24282480961 + ... + 24282482111.

It is an arithmetic number, because the mean of its divisors is an integer number (89303040000).

Almost surely, 2^{27949136247936} 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 27949136247936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45723156480000).

27949136247936 is an abundant number, since it is smaller than the sum of its proper divisors (63497176712064).

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

27949136247936 is a wasteful number, since it uses less digits than its factorization.

27949136247936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1436 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 27949136247936 in words is "twenty-seven trillion, nine hundred forty-nine billion, one hundred thirty-six million, two hundred forty-seven thousand, nine hundred thirty-six".