27414364711552 has 1152 divisors, whose sum is σ = 76056259608000. Its totient is φ = 9769040805888.

The previous prime is 27414364711549. The next prime is 27414364711553. The reversal of 27414364711552 is 25511746341472.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 27414364711552.

It is not an unprimeable number, because it can be changed into a prime (27414364711553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42635092543 + ... + 42635093185.

Almost surely, 2^{27414364711552} 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 27414364711552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38028129804000).

27414364711552 is an abundant number, since it is smaller than the sum of its proper divisors (48641894896448).

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

27414364711552 is a wasteful number, since it uses less digits than its factorization.

27414364711552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 786 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 52.

The spelling of 27414364711552 in words is "twenty-seven trillion, four hundred fourteen billion, three hundred sixty-four million, seven hundred eleven thousand, five hundred fifty-two".