27944017920 has 1344 divisors, whose sum is σ = 128809699200. Its totient is φ = 5549064192.

The previous prime is 27944017909. The next prime is 27944017961. The reversal of 27944017920 is 2971044972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×27944017920² (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 a congruent number.

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, 1643765752 + ... + 1643765768.

It is an arithmetic number, because the mean of its divisors is an integer number (95840550).

Almost surely, 2^27944017920 is an apocalyptic number.

27944017920 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 27944017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64404849600).

27944017920 is an abundant number, since it is smaller than the sum of its proper divisors (100865681280).

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

27944017920 is a wasteful number, since it uses less digits than its factorization.

27944017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27944017920 in words is "twenty-seven billion, nine hundred forty-four million, seventeen thousand, nine hundred twenty".