282513219072 has 320 divisors, whose sum is σ = 871010156544. Its totient is φ = 79705866240.

The previous prime is 282513219049. The next prime is 282513219229. The reversal of 282513219072 is 270912315282.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427402422 + ... + 427403082.

Almost surely, 2^282513219072 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 282513219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435505078272).

282513219072 is an abundant number, since it is smaller than the sum of its proper divisors (588496937472).

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

282513219072 is a wasteful number, since it uses less digits than its factorization.

282513219072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 282513219072 in words is "two hundred eighty-two billion, five hundred thirteen million, two hundred nineteen thousand, seventy-two".