27085632000 has 480 divisors, whose sum is σ = 104791864320. Its totient is φ = 6188851200.

The previous prime is 27085631987. The next prime is 27085632023. The reversal of 27085632000 is 23658072.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 9406561 + ... + 9409439.

It is an arithmetic number, because the mean of its divisors is an integer number (218316384).

Almost surely, 2^27085632000 is an apocalyptic number.

27085632000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27085632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52395932160).

27085632000 is an abundant number, since it is smaller than the sum of its proper divisors (77706232320).

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

27085632000 is an equidigital number, since it uses as much as digits as its factorization.

27085632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 27085632000 in words is "twenty-seven billion, eighty-five million, six hundred thirty-two thousand".