27877967748000 has 384 divisors, whose sum is σ = 102406816512000. Its totient is φ = 7365918643200.

The previous prime is 27877967747977. The next prime is 27877967748011. The reversal of 27877967748000 is 84776977872.

27877967748000 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 79 + 6 + 77 + 480 + 0 + 0 = 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 27877967748000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10587921 + ... + 12956079.

It is an arithmetic number, because the mean of its divisors is an integer number (266684418000).

Almost surely, 2^{27877967748000} is an apocalyptic number.

27877967748000 is a gapful number since it is divisible by the number (20) 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 27877967748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51203408256000).

27877967748000 is an abundant number, since it is smaller than the sum of its proper divisors (74528848764000).

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

27877967748000 is a wasteful number, since it uses less digits than its factorization.

27877967748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368302 (or 2368278 counting only the distinct ones).

The product of its (nonzero) digits is 464679936, while the sum is 72.

The spelling of 27877967748000 in words is "twenty-seven trillion, eight hundred seventy-seven billion, nine hundred sixty-seven million, seven hundred forty-eight thousand".