27799935284800 has 336 divisors, whose sum is σ = 78552423430272. Its totient is φ = 9485792870400.

The previous prime is 27799935284777. The next prime is 27799935284843. The reversal of 27799935284800 is 848253999772.

It is a super-2 number, since 2×27799935284800² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2051194824 + ... + 2051208376.

Almost surely, 2^{27799935284800} is an apocalyptic number.

27799935284800 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 27799935284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39276211715136).

27799935284800 is an abundant number, since it is smaller than the sum of its proper divisors (50752488145472).

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

27799935284800 is a wasteful number, since it uses less digits than its factorization.

27799935284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14446 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 73.

The spelling of 27799935284800 in words is "twenty-seven trillion, seven hundred ninety-nine billion, nine hundred thirty-five million, two hundred eighty-four thousand, eight hundred".