27947655120 has 640 divisors, whose sum is σ = 115192627200. Its totient is φ = 5432739840.

The previous prime is 27947655119. The next prime is 27947655137. The reversal of 27947655120 is 2155674972.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27947655120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19976181 + ... + 19977579.

It is an arithmetic number, because the mean of its divisors is an integer number (179988480).

Almost surely, 2^27947655120 is an apocalyptic number.

27947655120 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 27947655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57596313600).

27947655120 is an abundant number, since it is smaller than the sum of its proper divisors (87244972080).

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

27947655120 is a wasteful number, since it uses less digits than its factorization.

27947655120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 27947655120 in words is "twenty-seven billion, nine hundred forty-seven million, six hundred fifty-five thousand, one hundred twenty".