285757600968 has 192 divisors, whose sum is σ = 914949734400. Its totient is φ = 78844302720.

The previous prime is 285757600963. The next prime is 285757600987. The reversal of 285757600968 is 869006757582.

285757600968 is a `hidden beast` number, since 2 + 8 + 57 + 576 + 0 + 0 + 9 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 534563²-1.

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

It is not an unprimeable number, because it can be changed into a prime (285757600963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7464805 + ... + 7502987.

It is an arithmetic number, because the mean of its divisors is an integer number (4765363200).

Almost surely, 2^285757600968 is an apocalyptic number.

285757600968 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 285757600968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457474867200).

285757600968 is an abundant number, since it is smaller than the sum of its proper divisors (629192133432).

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

285757600968 is a wasteful number, since it uses less digits than its factorization.

285757600968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38712 (or 38705 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 285757600968 in words is "two hundred eighty-five billion, seven hundred fifty-seven million, six hundred thousand, nine hundred sixty-eight".