27763845120 has 960 divisors, whose sum is σ = 115589073600. Its totient is φ = 6299320320.

The previous prime is 27763845097. The next prime is 27763845139. The reversal of 27763845120 is 2154836772.

27763845120 is a `hidden beast` number, since 2 + 7 + 7 + 638 + 4 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155105191 + ... + 155105369.

It is an arithmetic number, because the mean of its divisors is an integer number (120405285).

Almost surely, 2^27763845120 is an apocalyptic number.

27763845120 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 27763845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57794536800).

27763845120 is an abundant number, since it is smaller than the sum of its proper divisors (87825228480).

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

27763845120 is a wasteful number, since it uses less digits than its factorization.

27763845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27763845120 in words is "twenty-seven billion, seven hundred sixty-three million, eight hundred forty-five thousand, one hundred twenty".