285827933664 has 864 divisors, whose sum is σ = 1097356740480. Its totient is φ = 69718247424.

The previous prime is 285827933663. The next prime is 285827933669. The reversal of 285827933664 is 466339728582.

It is a happy number.

285827933664 is a `hidden beast` number, since 28 + 5 + 8 + 279 + 336 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285827933663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149882599 + ... + 149884505.

It is an arithmetic number, because the mean of its divisors is an integer number (1270088820).

Almost surely, 2^285827933664 is an apocalyptic number.

285827933664 is a gapful number since it is divisible by the number (24) 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 285827933664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548678370240).

285827933664 is an abundant number, since it is smaller than the sum of its proper divisors (811528806816).

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

285827933664 is a wasteful number, since it uses less digits than its factorization.

285827933664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1994 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 285827933664 in words is "two hundred eighty-five billion, eight hundred twenty-seven million, nine hundred thirty-three thousand, six hundred sixty-four".