287745736531968 has 896 divisors, whose sum is σ = 1007516439014400. Its totient is φ = 80486822707200.

The previous prime is 287745736531961. The next prime is 287745736532003. The reversal of 287745736531968 is 869135637547782.

287745736531968 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 4 + 5 + 73 + 6 + 531 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287745736531961) 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, 5345326813 + ... + 5345380643.

It is an arithmetic number, because the mean of its divisors is an integer number (1124460311400).

Almost surely, 2^{287745736531968} 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 287745736531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503758219507200).

287745736531968 is an abundant number, since it is smaller than the sum of its proper divisors (719770702482432).

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

287745736531968 is an equidigital number, since it uses as much as digits as its factorization.

287745736531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53916 (or 53860 counting only the distinct ones).

The product of its digits is 12802406400, while the sum is 81.

The spelling of 287745736531968 in words is "two hundred eighty-seven trillion, seven hundred forty-five billion, seven hundred thirty-six million, five hundred thirty-one thousand, nine hundred sixty-eight".