283382668800 has 1920 divisors, whose sum is σ = 1356118917120. Its totient is φ = 56202854400.

The previous prime is 283382668783. The next prime is 283382668837. The reversal of 283382668800 is 8866283382.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 612057369 + ... + 612057831.

It is an arithmetic number, because the mean of its divisors is an integer number (706311936).

Almost surely, 2^283382668800 is an apocalyptic number.

283382668800 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 283382668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678059458560).

283382668800 is an abundant number, since it is smaller than the sum of its proper divisors (1072736248320).

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

283382668800 is a wasteful number, since it uses less digits than its factorization.

283382668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 283382668800 in words is "two hundred eighty-three billion, three hundred eighty-two million, six hundred sixty-eight thousand, eight hundred".