282445086720 has 288 divisors, whose sum is σ = 951516175680. Its totient is φ = 71345111040.

The previous prime is 282445086719. The next prime is 282445086751. The reversal of 282445086720 is 27680544282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 282445086720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37351740 + ... + 37359300.

It is an arithmetic number, because the mean of its divisors is an integer number (3303875610).

Almost surely, 2^282445086720 is an apocalyptic number.

282445086720 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 282445086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475758087840).

282445086720 is an abundant number, since it is smaller than the sum of its proper divisors (669071088960).

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

282445086720 is an frugal number, since it uses more digits than its factorization.

282445086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7622 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 282445086720 in words is "two hundred eighty-two billion, four hundred forty-five million, eighty-six thousand, seven hundred twenty".