27952869312 has 448 divisors, whose sum is σ = 91576550400. Its totient is φ = 8424953856.

The previous prime is 27952869223. The next prime is 27952869313. The reversal of 27952869312 is 21396825972.

27952869312 is a `hidden beast` number, since 27 + 9 + 528 + 6 + 93 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3265920) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27952869313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61165788 + ... + 61166244.

Almost surely, 2^27952869312 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 27952869312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45788275200).

27952869312 is an abundant number, since it is smaller than the sum of its proper divisors (63623681088).

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

27952869312 is an equidigital number, since it uses as much as digits as its factorization.

27952869312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 504 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 27952869312 in words is "twenty-seven billion, nine hundred fifty-two million, eight hundred sixty-nine thousand, three hundred twelve".