27789873768000 has 448 divisors, whose sum is σ = 103009149734400. Its totient is φ = 7334229196800.

The previous prime is 27789873767941. The next prime is 27789873768017. The reversal of 27789873768000 is 86737898772.

27789873768000 is a `hidden beast` number, since 27 + 7 + 89 + 87 + 376 + 80 + 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 27789873768000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20288821 + ... + 21615179.

It is an arithmetic number, because the mean of its divisors is an integer number (229931137800).

Almost surely, 2^{27789873768000} is an apocalyptic number.

27789873768000 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 27789873768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51504574867200).

27789873768000 is an abundant number, since it is smaller than the sum of its proper divisors (75219275966400).

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

27789873768000 is a wasteful number, since it uses less digits than its factorization.

27789873768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326492 (or 1326466 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 27789873768000 in words is "twenty-seven trillion, seven hundred eighty-nine billion, eight hundred seventy-three million, seven hundred sixty-eight thousand".