27330282749952 has 2592 divisors, whose sum is σ = 108347165840160. Its totient is φ = 6608340910080.

The previous prime is 27330282749923. The next prime is 27330282749981. The reversal of 27330282749952 is 25994728203372.

27330282749952 is a `hidden beast` number, since 2 + 7 + 3 + 302 + 8 + 274 + 9 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (27330282749923) and next prime (27330282749981).

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 27330282749952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 881622024177 + ... + 881622024207.

It is an arithmetic number, because the mean of its divisors is an integer number (41800604105).

Almost surely, 2^{27330282749952} 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 27330282749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54173582920080).

27330282749952 is an abundant number, since it is smaller than the sum of its proper divisors (81016883090208).

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

27330282749952 is a wasteful number, since it uses less digits than its factorization.

27330282749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

It can be divided in two parts, 27330 and 282749952, that added together give a palindrome (282777282).

The spelling of 27330282749952 in words is "twenty-seven trillion, three hundred thirty billion, two hundred eighty-two million, seven hundred forty-nine thousand, nine hundred fifty-two".