285713639810496 has 448 divisors, whose sum is σ = 873294428160000. Its totient is φ = 91490169544704.

The previous prime is 285713639810429. The next prime is 285713639810497. The reversal of 285713639810496 is 694018936317582.

285713639810496 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 1 + 36 + 3 + 98 + 10 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285713639810497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23344518745 + ... + 23344530983.

It is an arithmetic number, because the mean of its divisors is an integer number (1949317920000).

It is a 1-persistent number, because it is pandigital, but 2⋅285713639810496 = 571427279620992 is not.

Almost surely, 2^{285713639810496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285713639810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436647214080000).

285713639810496 is an abundant number, since it is smaller than the sum of its proper divisors (587580788349504).

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

285713639810496 is a wasteful number, since it uses less digits than its factorization.

285713639810496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14601 (or 14585 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 285713639810496 in words is "two hundred eighty-five trillion, seven hundred thirteen billion, six hundred thirty-nine million, eight hundred ten thousand, four hundred ninety-six".