27933880320 has 364 divisors, whose sum is σ = 100557434016. Its totient is φ = 7445053440.

The previous prime is 27933880291. The next prime is 27933880339. The reversal of 27933880320 is 2308833972.

It is a happy number.

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 27 ways as a sum of consecutive naturals, for example, 14928985 + ... + 14930855.

Almost surely, 2^27933880320 is an apocalyptic number.

27933880320 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 27933880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50278717008).

27933880320 is an abundant number, since it is smaller than the sum of its proper divisors (72623553696).

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

27933880320 is an frugal number, since it uses more digits than its factorization.

27933880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 27933880320 in words is "twenty-seven billion, nine hundred thirty-three million, eight hundred eighty thousand, three hundred twenty".