27532685376 has 1008 divisors, whose sum is σ = 107983324800. Its totient is φ = 6772211712.

The previous prime is 27532685339. The next prime is 27532685407. The reversal of 27532685376 is 67358623572.

It is a happy number.

27532685376 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 268 + 5 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×27532685376² (a number of 22 digits) contains 22 as substring.

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

Its product of digits (12700800) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 949402930 + ... + 949402958.

Almost surely, 2^27532685376 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 27532685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53991662400).

27532685376 is an abundant number, since it is smaller than the sum of its proper divisors (80450639424).

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

27532685376 is an equidigital number, since it uses as much as digits as its factorization.

27532685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 27532685376 in words is "twenty-seven billion, five hundred thirty-two million, six hundred eighty-five thousand, three hundred seventy-six".