282753483841920 has 1536 divisors, whose sum is σ = 1178358496560000. Its totient is φ = 57090159673344.

The previous prime is 282753483841837. The next prime is 282753483841937. The reversal of 282753483841920 is 29148384357282.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4007866806 + ... + 4007937354.

Almost surely, 2^{282753483841920} is an apocalyptic number.

282753483841920 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 282753483841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589179248280000).

282753483841920 is an abundant number, since it is smaller than the sum of its proper divisors (895605012718080).

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

282753483841920 is a wasteful number, since it uses less digits than its factorization.

282753483841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70740 (or 70721 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 282753483841920 in words is "two hundred eighty-two trillion, seven hundred fifty-three billion, four hundred eighty-three million, eight hundred forty-one thousand, nine hundred twenty".