2827163897600 has 324 divisors, whose sum is σ = 8145741404808. Its totient is φ = 968647680000.

The previous prime is 2827163897599. The next prime is 2827163897641. The reversal of 2827163897600 is 67983617282.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2827163897600.

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 35 ways as a sum of consecutive naturals, for example, 734135675 + ... + 734139525.

Almost surely, 2^{2827163897600} is an apocalyptic number.

2827163897600 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 2827163897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072870702404).

2827163897600 is an abundant number, since it is smaller than the sum of its proper divisors (5318577507208).

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

2827163897600 is a wasteful number, since it uses less digits than its factorization.

2827163897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 59.

The spelling of 2827163897600 in words is "two trillion, eight hundred twenty-seven billion, one hundred sixty-three million, eight hundred ninety-seven thousand, six hundred".