282058459422720 has 1792 divisors, whose sum is σ = 988582073794560. Its totient is φ = 68448499531776.

The previous prime is 282058459422709. The next prime is 282058459422731. The reversal of 282058459422720 is 27224954850282.

It is an interprime number because it is at equal distance from previous prime (282058459422709) and next prime (282058459422731).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1796550696882 + ... + 1796550697038.

It is an arithmetic number, because the mean of its divisors is an integer number (551664103680).

Almost surely, 2^{282058459422720} is an apocalyptic number.

282058459422720 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 282058459422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494291036897280).

282058459422720 is an abundant number, since it is smaller than the sum of its proper divisors (706523614371840).

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

282058459422720 is a wasteful number, since it uses less digits than its factorization.

282058459422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 60.

The spelling of 282058459422720 in words is "two hundred eighty-two trillion, fifty-eight billion, four hundred fifty-nine million, four hundred twenty-two thousand, seven hundred twenty".