27842265360 has 480 divisors, whose sum is σ = 115608100608. Its totient is φ = 5847552000.

The previous prime is 27842265337. The next prime is 27842265421. The reversal of 27842265360 is 6356224872.

27842265360 is a `hidden beast` number, since 2 + 78 + 42 + 2 + 6 + 536 + 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 95 ways as a sum of consecutive naturals, for example, 16444674 + ... + 16446366.

Almost surely, 2^27842265360 is an apocalyptic number.

27842265360 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 27842265360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57804050304).

27842265360 is an abundant number, since it is smaller than the sum of its proper divisors (87765835248).

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

27842265360 is a wasteful number, since it uses less digits than its factorization.

27842265360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 27842265360 in words is "twenty-seven billion, eight hundred forty-two million, two hundred sixty-five thousand, three hundred sixty".