27730545120 has 144 divisors (see below), whose sum is σ = 94759217280. Its totient is φ = 7384753152.

The previous prime is 27730545107. The next prime is 27730545121. The reversal of 27730545120 is 2154503772.

27730545120 is a `hidden beast` number, since 2 + 77 + 30 + 545 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27730545121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077361 + ... + 1102799.

It is an arithmetic number, because the mean of its divisors is an integer number (658050120).

Almost surely, 2^27730545120 is an apocalyptic number.

27730545120 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 27730545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47379608640).

27730545120 is an abundant number, since it is smaller than the sum of its proper divisors (67028672160).

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

27730545120 is a wasteful number, since it uses less digits than its factorization.

27730545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26217 (or 26206 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 27730545120 in words is "twenty-seven billion, seven hundred thirty million, five hundred forty-five thousand, one hundred twenty".