27085320054000 has 960 divisors, whose sum is σ = 105362564935680. Its totient is φ = 6648166886400.

The previous prime is 27085320053929. The next prime is 27085320054017. The reversal of 27085320054000 is 45002358072.

27085320054000 is a `hidden beast` number, since 2 + 7 + 0 + 85 + 32 + 0 + 0 + 540 + 0 + 0 = 666.

It is a super-2 number, since 2×27085320054000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3349237957 + ... + 3349246043.

It is an arithmetic number, because the mean of its divisors is an integer number (109752671808).

Almost surely, 2^{27085320054000} is an apocalyptic number.

27085320054000 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 27085320054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52681282467840).

27085320054000 is an abundant number, since it is smaller than the sum of its proper divisors (78277244881680).

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

27085320054000 is a wasteful number, since it uses less digits than its factorization.

27085320054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 27085320054000 in words is "twenty-seven trillion, eighty-five billion, three hundred twenty million, fifty-four thousand".