27933050880 has 960 divisors, whose sum is σ = 121582581120. Its totient is φ = 5987893248.

The previous prime is 27933050861. The next prime is 27933050921. The reversal of 27933050880 is 8805033972.

27933050880 is a `hidden beast` number, since 27 + 93 + 30 + 508 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 98703219 + ... + 98703501.

It is an arithmetic number, because the mean of its divisors is an integer number (126648522).

Almost surely, 2^27933050880 is an apocalyptic number.

27933050880 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 27933050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60791290560).

27933050880 is an abundant number, since it is smaller than the sum of its proper divisors (93649530240).

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

27933050880 is a wasteful number, since it uses less digits than its factorization.

27933050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27933050880 in words is "twenty-seven billion, nine hundred thirty-three million, fifty thousand, eight hundred eighty".