827499200000 has 240 divisors, whose sum is σ = 2254515733008. Its totient is φ = 300902400000.

The previous prime is 827499199921. The next prime is 827499200029. The reversal of 827499200000 is 2994728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17576492 + ... + 17623508.

Almost surely, 2^827499200000 is an apocalyptic number.

827499200000 is a gapful number since it is divisible by the number (80) 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 827499200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127257866504).

827499200000 is an abundant number, since it is smaller than the sum of its proper divisors (1427016533008).

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

827499200000 is an frugal number, since it uses more digits than its factorization.

827499200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47071 (or 47035 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 827499200000 in words is "eight hundred twenty-seven billion, four hundred ninety-nine million, two hundred thousand".