27783878791680 has 960 divisors, whose sum is σ = 112613336035200. Its totient is φ = 6503181189120.

The previous prime is 27783878791663. The next prime is 27783878791787. The reversal of 27783878791680 is 8619787838772.

27783878791680 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 387 + 8 + 79 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 27783878791680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198373516 + ... + 198513524.

It is an arithmetic number, because the mean of its divisors is an integer number (117305558370).

Almost surely, 2^{27783878791680} is an apocalyptic number.

27783878791680 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 27783878791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306668017600).

27783878791680 is an abundant number, since it is smaller than the sum of its proper divisors (84829457243520).

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

27783878791680 is a wasteful number, since it uses less digits than its factorization.

27783878791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140087 (or 140059 counting only the distinct ones).

The product of its (nonzero) digits is 3186376704, while the sum is 81.

The spelling of 27783878791680 in words is "twenty-seven trillion, seven hundred eighty-three billion, eight hundred seventy-eight million, seven hundred ninety-one thousand, six hundred eighty".