27798139680192 has 3136 divisors, whose sum is σ = 109984152944640. Its totient is φ = 6784304947200.

The previous prime is 27798139680167. The next prime is 27798139680239. The reversal of 27798139680192 is 29108693189772.

27798139680192 is a `hidden beast` number, since 2 + 7 + 79 + 8 + 1 + 396 + 80 + 1 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27798139680192.

It is a congruent number.

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 447 ways as a sum of consecutive naturals, for example, 269884851213 + ... + 269884851315.

Almost surely, 2^{27798139680192} 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 27798139680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54992076472320).

27798139680192 is an abundant number, since it is smaller than the sum of its proper divisors (82186013264448).

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

27798139680192 is a wasteful number, since it uses less digits than its factorization.

27798139680192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 27798139680192 in words is "twenty-seven trillion, seven hundred ninety-eight billion, one hundred thirty-nine million, six hundred eighty thousand, one hundred ninety-two".