27145561709952 has 768 divisors, whose sum is σ = 94694263872000. Its totient is φ = 7291414609920.

The previous prime is 27145561709941. The next prime is 27145561710077. The reversal of 27145561709952 is 25990716554172.

It is a happy number.

27145561709952 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 5 + 5 + 617 + 0 + 9 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 27145561709952.

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, 13222386558 + ... + 13222388610.

It is an arithmetic number, because the mean of its divisors is an integer number (123299822750).

Almost surely, 2^{27145561709952} 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 27145561709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47347131936000).

27145561709952 is an abundant number, since it is smaller than the sum of its proper divisors (67548702162048).

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

27145561709952 is a wasteful number, since it uses less digits than its factorization.

27145561709952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 27145561709952 in words is "twenty-seven trillion, one hundred forty-five billion, five hundred sixty-one million, seven hundred nine thousand, nine hundred fifty-two".