285982244352 has 560 divisors, whose sum is σ = 1021889594880. Its totient is φ = 78140215296.

The previous prime is 285982244351. The next prime is 285982244381. The reversal of 285982244352 is 253442289582.

285982244352 is a `hidden beast` number, since 2 + 8 + 598 + 2 + 2 + 4 + 43 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285982244351) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 60090549 + ... + 60095307.

It is an arithmetic number, because the mean of its divisors is an integer number (1824802848).

Almost surely, 2^285982244352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285982244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510944797440).

285982244352 is an abundant number, since it is smaller than the sum of its proper divisors (735907350528).

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

285982244352 is an frugal number, since it uses more digits than its factorization.

285982244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825 (or 4794 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 285982244352 in words is "two hundred eighty-five billion, nine hundred eighty-two million, two hundred forty-four thousand, three hundred fifty-two".