27422242848 has 864 divisors, whose sum is σ = 109580470272. Its totient is φ = 6550502400.

The previous prime is 27422242817. The next prime is 27422242873. The reversal of 27422242848 is 84824222472.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×27422242848² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101188953 + ... + 101189223.

It is an arithmetic number, because the mean of its divisors is an integer number (126829248).

Almost surely, 2^27422242848 is an apocalyptic number.

27422242848 is a gapful number since it is divisible by the number (28) 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 27422242848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54790235136).

27422242848 is an abundant number, since it is smaller than the sum of its proper divisors (82158227424).

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

27422242848 is a wasteful number, since it uses less digits than its factorization.

27422242848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 307 counting only the distinct ones).

The product of its digits is 917504, while the sum is 45.

The spelling of 27422242848 in words is "twenty-seven billion, four hundred twenty-two million, two hundred forty-two thousand, eight hundred forty-eight".