27052954785792 has 1152 divisors, whose sum is σ = 92367307468800. Its totient is φ = 7553345126400.

The previous prime is 27052954785763. The next prime is 27052954785803. The reversal of 27052954785792 is 29758745925072.

27052954785792 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 2 + 9 + 5 + 47 + 8 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 27052954785792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14536782942 + ... + 14536784802.

It is an arithmetic number, because the mean of its divisors is an integer number (80179954400).

Almost surely, 2^{27052954785792} 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 27052954785792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46183653734400).

27052954785792 is an abundant number, since it is smaller than the sum of its proper divisors (65314352683008).

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

27052954785792 is a wasteful number, since it uses less digits than its factorization.

27052954785792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 889056000, while the sum is 72.

The spelling of 27052954785792 in words is "twenty-seven trillion, fifty-two billion, nine hundred fifty-four million, seven hundred eighty-five thousand, seven hundred ninety-two".