27855351360 has 448 divisors, whose sum is σ = 104680512000. Its totient is φ = 6948716544.

The previous prime is 27855351331. The next prime is 27855351379. The reversal of 27855351360 is 6315355872.

27855351360 is a `hidden beast` number, since 2 + 7 + 85 + 53 + 513 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29228644 + ... + 29229596.

Almost surely, 2^27855351360 is an apocalyptic number.

27855351360 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 27855351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52340256000).

27855351360 is an abundant number, since it is smaller than the sum of its proper divisors (76825160640).

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

27855351360 is a wasteful number, since it uses less digits than its factorization.

27855351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 27855351360 in words is "twenty-seven billion, eight hundred fifty-five million, three hundred fifty-one thousand, three hundred sixty".