27914883904512 has 2640 divisors, whose sum is σ = 102008555421696. Its totient is φ = 7571327385600.

The previous prime is 27914883904463. The next prime is 27914883904519. The reversal of 27914883904512 is 21540938841972.

27914883904512 is a `hidden beast` number, since 2 + 7 + 9 + 1 + 4 + 88 + 39 + 0 + 4 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27914883904512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27914883904519) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 336323902423 + ... + 336323902505.

Almost surely, 2^{27914883904512} is an apocalyptic number.

27914883904512 is a gapful number since it is divisible by the number (22) 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 27914883904512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51004277710848).

27914883904512 is an abundant number, since it is smaller than the sum of its proper divisors (74093671517184).

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

27914883904512 is a wasteful number, since it uses less digits than its factorization.

27914883904512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 27914883904512 in words is "twenty-seven trillion, nine hundred fourteen billion, eight hundred eighty-three million, nine hundred four thousand, five hundred twelve".