286216008960 has 432 divisors, whose sum is σ = 1065533700672. Its totient is φ = 65286144000.

The previous prime is 286216008931. The next prime is 286216008961. The reversal of 286216008960 is 69800612682.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286216008961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113082895 + ... + 113085425.

It is an arithmetic number, because the mean of its divisors is an integer number (2466513196).

Almost surely, 2^286216008960 is an apocalyptic number.

286216008960 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 286216008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532766850336).

286216008960 is an abundant number, since it is smaller than the sum of its proper divisors (779317691712).

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

286216008960 is a wasteful number, since it uses less digits than its factorization.

286216008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 286216008960 in words is "two hundred eighty-six billion, two hundred sixteen million, eight thousand, nine hundred sixty".