27870255360 has 288 divisors, whose sum is σ = 100264577280. Its totient is φ = 7329595392.

The previous prime is 27870255319. The next prime is 27870255367. The reversal of 27870255360 is 6355207872.

27870255360 is a `hidden beast` number, since 27 + 8 + 70 + 2 + 553 + 6 + 0 = 666.

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

It is a super-2 number, since 2×27870255360² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27870255367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2517357 + ... + 2528403.

Almost surely, 2^27870255360 is an apocalyptic number.

27870255360 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 27870255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50132288640).

27870255360 is an abundant number, since it is smaller than the sum of its proper divisors (72394321920).

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

27870255360 is a wasteful number, since it uses less digits than its factorization.

27870255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11150 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 27870255360 in words is "twenty-seven billion, eight hundred seventy million, two hundred fifty-five thousand, three hundred sixty".