27813221280 has 864 divisors, whose sum is σ = 111769008624. Its totient is φ = 6256852992.

The previous prime is 27813221279. The next prime is 27813221299. The reversal of 27813221280 is 8212231872.

It can be written as a sum of positive squares in 24 ways, for example, as 385886736 + 27427334544 = 19644^2 + 165612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 286734192 + ... + 286734288.

Almost surely, 2^27813221280 is an apocalyptic number.

27813221280 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 27813221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55884504312).

27813221280 is an abundant number, since it is smaller than the sum of its proper divisors (83955787344).

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

27813221280 is a wasteful number, since it uses less digits than its factorization.

27813221280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 27813221280 in words is "twenty-seven billion, eight hundred thirteen million, two hundred twenty-one thousand, two hundred eighty".