285329011968 has 1728 divisors, whose sum is σ = 1198410608640. Its totient is φ = 65034731520.

The previous prime is 285329011909. The next prime is 285329011973. The reversal of 285329011968 is 869110923582.

285329011968 is a `hidden beast` number, since 2 + 8 + 532 + 9 + 0 + 11 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1750484655 + ... + 1750484817.

Almost surely, 2^285329011968 is an apocalyptic number.

285329011968 is a gapful number since it is divisible by the number (28) 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 285329011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599205304320).

285329011968 is an abundant number, since it is smaller than the sum of its proper divisors (913081596672).

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

285329011968 is a wasteful number, since it uses less digits than its factorization.

285329011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 285329011968 in words is "two hundred eighty-five billion, three hundred twenty-nine million, eleven thousand, nine hundred sixty-eight".