282168606720 has 1920 divisors, whose sum is σ = 1285229740032. Its totient is φ = 50960793600.

The previous prime is 282168606701. The next prime is 282168606721. The reversal of 282168606720 is 27606861282.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 282168606720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282168606721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7626178542 + ... + 7626178578.

Almost surely, 2^282168606720 is an apocalyptic number.

282168606720 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 282168606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642614870016).

282168606720 is an abundant number, since it is smaller than the sum of its proper divisors (1003061133312).

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

282168606720 is a wasteful number, since it uses less digits than its factorization.

282168606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

It can be divided in two parts, 282168 and 606720, that added together give a palindrome (888888).

The spelling of 282168606720 in words is "two hundred eighty-two billion, one hundred sixty-eight million, six hundred six thousand, seven hundred twenty".