27652605120 has 1120 divisors, whose sum is σ = 120207267840. Its totient is φ = 5974456320.

The previous prime is 27652605061. The next prime is 27652605139. The reversal of 27652605120 is 2150625672.

27652605120 is a `hidden beast` number, since 2 + 7 + 6 + 526 + 0 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 643083819 + ... + 643083861.

Almost surely, 2^27652605120 is an apocalyptic number.

27652605120 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 27652605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60103633920).

27652605120 is an abundant number, since it is smaller than the sum of its proper divisors (92554662720).

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

27652605120 is an equidigital number, since it uses as much as digits as its factorization.

27652605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 27652605120 in words is "twenty-seven billion, six hundred fifty-two million, six hundred five thousand, one hundred twenty".