27531012096 has 576 divisors, whose sum is σ = 95805964800. Its totient is φ = 7453016064.

The previous prime is 27531012079. The next prime is 27531012097. The reversal of 27531012096 is 69021013572.

27531012096 is a `hidden beast` number, since 27 + 531 + 0 + 12 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27531012096.

It is not an unprimeable number, because it can be changed into a prime (27531012097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348493785 + ... + 348493863.

It is an arithmetic number, because the mean of its divisors is an integer number (166329800).

Almost surely, 2^27531012096 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 27531012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47902982400).

27531012096 is an abundant number, since it is smaller than the sum of its proper divisors (68274952704).

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

27531012096 is a wasteful number, since it uses less digits than its factorization.

27531012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 27531012096 in words is "twenty-seven billion, five hundred thirty-one million, twelve thousand, ninety-six".