27032853120 has 1152 divisors, whose sum is σ = 116389768320. Its totient is φ = 5279662080.

The previous prime is 27032853119. The next prime is 27032853131. The reversal of 27032853120 is 2135823072.

It is a congruent number.

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, 872027505 + ... + 872027535.

It is an arithmetic number, because the mean of its divisors is an integer number (101032785).

Almost surely, 2^27032853120 is an apocalyptic number.

27032853120 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 27032853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58194884160).

27032853120 is an abundant number, since it is smaller than the sum of its proper divisors (89356915200).

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

27032853120 is a wasteful number, since it uses less digits than its factorization.

27032853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

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

The spelling of 27032853120 in words is "twenty-seven billion, thirty-two million, eight hundred fifty-three thousand, one hundred twenty".