282523762080 has 480 divisors, whose sum is σ = 1150006999680. Its totient is φ = 63982172160.

The previous prime is 282523762069. The next prime is 282523762099. The reversal of 282523762080 is 80267325282.

It is a happy number.

282523762080 is a `hidden beast` number, since 2 + 8 + 252 + 376 + 20 + 8 + 0 = 666.

282523762080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×282523762080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9874195 + ... + 9902765.

It is an arithmetic number, because the mean of its divisors is an integer number (2395847916).

Almost surely, 2^282523762080 is an apocalyptic number.

282523762080 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 282523762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575003499840).

282523762080 is an abundant number, since it is smaller than the sum of its proper divisors (867483237600).

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

282523762080 is a wasteful number, since it uses less digits than its factorization.

282523762080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28714 (or 28697 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 282523762080 in words is "two hundred eighty-two billion, five hundred twenty-three million, seven hundred sixty-two thousand, eighty".