286242680012800 has 2448 divisors, whose sum is σ = 933821106624000. Its totient is φ = 86327584358400.

The previous prime is 286242680012767. The next prime is 286242680012803. The reversal of 286242680012800 is 8210086242682.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (286242680012803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1438405427101 + ... + 1438405427299.

Almost surely, 2^{286242680012800} is an apocalyptic number.

286242680012800 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 286242680012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466910553312000).

286242680012800 is an abundant number, since it is smaller than the sum of its proper divisors (647578426611200).

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

286242680012800 is a wasteful number, since it uses less digits than its factorization.

286242680012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

The spelling of 286242680012800 in words is "two hundred eighty-six trillion, two hundred forty-two billion, six hundred eighty million, twelve thousand, eight hundred".