282952716480 has 896 divisors, whose sum is σ = 1216664064000. Its totient is φ = 60429238272.

The previous prime is 282952716469. The next prime is 282952716521. The reversal of 282952716480 is 84617259282.

282952716480 is a `hidden beast` number, since 2 + 8 + 2 + 95 + 2 + 71 + 6 + 480 = 666.

It is a super-2 number, since 2×282952716480² (a number of 24 digits) contains 22 as substring.

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

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, 153194917 + ... + 153196763.

It is an arithmetic number, because the mean of its divisors is an integer number (1357884000).

Almost surely, 2^282952716480 is an apocalyptic number.

282952716480 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 282952716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608332032000).

282952716480 is an abundant number, since it is smaller than the sum of its proper divisors (933711347520).

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

282952716480 is a wasteful number, since it uses less digits than its factorization.

282952716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 282952716480 in words is "two hundred eighty-two billion, nine hundred fifty-two million, seven hundred sixteen thousand, four hundred eighty".