27868802779008 has 640 divisors, whose sum is σ = 89326854144000. Its totient is φ = 8598514176000.

The previous prime is 27868802778979. The next prime is 27868802779057. The reversal of 27868802779008 is 80097720886872.

27868802779008 is a `hidden beast` number, since 278 + 6 + 8 + 80 + 277 + 9 + 0 + 0 + 8 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 1814485633 + ... + 1814500991.

It is an arithmetic number, because the mean of its divisors is an integer number (139573209600).

Almost surely, 2^{27868802779008} 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 27868802779008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44663427072000).

27868802779008 is an abundant number, since it is smaller than the sum of its proper divisors (61458051364992).

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

27868802779008 is a wasteful number, since it uses less digits than its factorization.

27868802779008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15616 (or 15595 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 27868802779008 in words is "twenty-seven trillion, eight hundred sixty-eight billion, eight hundred two million, seven hundred seventy-nine thousand, eight".