283325796000 has 1728 divisors, whose sum is σ = 1206018253440. Its totient is φ = 64534579200.

The previous prime is 283325795989. The next prime is 283325796037. The reversal of 283325796000 is 697523382.

283325796000 is a `hidden beast` number, since 2 + 8 + 3 + 32 + 5 + 7 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 6588971979 + ... + 6588972021.

It is an arithmetic number, because the mean of its divisors is an integer number (697927230).

Almost surely, 2^283325796000 is an apocalyptic number.

283325796000 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 283325796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603009126720).

283325796000 is an abundant number, since it is smaller than the sum of its proper divisors (922692457440).

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

283325796000 is a wasteful number, since it uses less digits than its factorization.

283325796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 283325796000 in words is "two hundred eighty-three billion, three hundred twenty-five million, seven hundred ninety-six thousand".