285626316000 has 768 divisors, whose sum is σ = 1061424000000. Its totient is φ = 66709094400.

The previous prime is 285626315993. The next prime is 285626316007. The reversal of 285626316000 is 613626582.

It is an interprime number because it is at equal distance from previous prime (285626315993) and next prime (285626316007).

It is a self number, because there is not a number n which added to its sum of digits gives 285626316000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285626316007) 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, 228683376 + ... + 228684624.

It is an arithmetic number, because the mean of its divisors is an integer number (1382062500).

Almost surely, 2^285626316000 is an apocalyptic number.

285626316000 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 285626316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000000).

285626316000 is an abundant number, since it is smaller than the sum of its proper divisors (775797684000).

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

285626316000 is a wasteful number, since it uses less digits than its factorization.

285626316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 285626316000 in words is "two hundred eighty-five billion, six hundred twenty-six million, three hundred sixteen thousand".