27800963280 has 120 divisors (see below), whose sum is σ = 93642766152. Its totient is φ = 7391526912.

The previous prime is 27800963269. The next prime is 27800963327. The reversal of 27800963280 is 8236900872.

27800963280 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 0 + 9 + 632 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5777216064 + 22023747216 = 76008^2 + 148404^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185352 + ... + 299928.

Almost surely, 2^27800963280 is an apocalyptic number.

27800963280 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 27800963280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46821383076).

27800963280 is an abundant number, since it is smaller than the sum of its proper divisors (65841802872).

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

27800963280 is a wasteful number, since it uses less digits than its factorization.

27800963280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114933 (or 114924 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27800963280 in words is "twenty-seven billion, eight hundred million, nine hundred sixty-three thousand, two hundred eighty".