27954875195352 has 3072 divisors, whose sum is σ = 108689817600000. Its totient is φ = 6676272046080.

The previous prime is 27954875195329. The next prime is 27954875195381. The reversal of 27954875195352 is 25359157845972.

27954875195352 is a `hidden beast` number, since 2 + 7 + 9 + 5 + 4 + 8 + 7 + 519 + 53 + 52 = 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 polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 353859179649 + ... + 353859179727.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800000).

Almost surely, 2^{27954875195352} 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 27954875195352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54344908800000).

27954875195352 is an abundant number, since it is smaller than the sum of its proper divisors (80734942404648).

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

27954875195352 is a wasteful number, since it uses less digits than its factorization.

27954875195352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its digits is 952560000, while the sum is 72.

The spelling of 27954875195352 in words is "twenty-seven trillion, nine hundred fifty-four billion, eight hundred seventy-five million, one hundred ninety-five thousand, three hundred fifty-two".