27200005869120 has 896 divisors, whose sum is σ = 102748823224320. Its totient is φ = 5967070986240.

The previous prime is 27200005869109. The next prime is 27200005869163. The reversal of 27200005869120 is 2196850000272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5715485301 + ... + 5715490059.

It is an arithmetic number, because the mean of its divisors is an integer number (114675025920).

Almost surely, 2^{27200005869120} is an apocalyptic number.

27200005869120 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 27200005869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51374411612160).

27200005869120 is an abundant number, since it is smaller than the sum of its proper divisors (75548817355200).

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

27200005869120 is a wasteful number, since it uses less digits than its factorization.

27200005869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

Adding to 27200005869120 its reverse (2196850000272), we get a palindrome (29396855869392).

The spelling of 27200005869120 in words is "twenty-seven trillion, two hundred billion, five million, eight hundred sixty-nine thousand, one hundred twenty".