27860012352 has 336 divisors, whose sum is σ = 87368067072. Its totient is φ = 8453652480.

The previous prime is 27860012347. The next prime is 27860012353. The reversal of 27860012352 is 25321006872.

27860012352 is a `hidden beast` number, since 2 + 7 + 8 + 600 + 12 + 35 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27860012353) 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, 53473852 + ... + 53474372.

Almost surely, 2^27860012352 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 27860012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43684033536).

27860012352 is an abundant number, since it is smaller than the sum of its proper divisors (59508054720).

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

27860012352 is a wasteful number, since it uses less digits than its factorization.

27860012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27860012352 in words is "twenty-seven billion, eight hundred sixty million, twelve thousand, three hundred fifty-two".