27255805920 has 288 divisors, whose sum is σ = 110920223232. Its totient is φ = 5958982656.

The previous prime is 27255805777. The next prime is 27255805921. The reversal of 27255805920 is 2950855272.

27255805920 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 58 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27255805921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173059 + ... + 290621.

It is an arithmetic number, because the mean of its divisors is an integer number (385139664).

Almost surely, 2^27255805920 is an apocalyptic number.

27255805920 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 27255805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55460111616).

27255805920 is an abundant number, since it is smaller than the sum of its proper divisors (83664417312).

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

27255805920 is a wasteful number, since it uses less digits than its factorization.

27255805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117614 (or 117603 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 27255805920 in words is "twenty-seven billion, two hundred fifty-five million, eight hundred five thousand, nine hundred twenty".