27525966336 has 480 divisors, whose sum is σ = 90413623872. Its totient is φ = 7989166080.

The previous prime is 27525966319. The next prime is 27525966383. The reversal of 27525966336 is 63366952572.

27525966336 is a `hidden beast` number, since 27 + 525 + 9 + 6 + 63 + 36 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (12247200) is a multiple of the sum of its prime factors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159109546 + ... + 159109718.

Almost surely, 2^27525966336 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 27525966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45206811936).

27525966336 is an abundant number, since it is smaller than the sum of its proper divisors (62887657536).

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

27525966336 is a wasteful number, since it uses less digits than its factorization.

27525966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 27525966336 in words is "twenty-seven billion, five hundred twenty-five million, nine hundred sixty-six thousand, three hundred thirty-six".