85240791968836 has 243 divisors, whose sum is σ = 186518826235287. Its totient is φ = 33981854780160.

The previous prime is 85240791968809. The next prime is 85240791968851. The reversal of 85240791968836 is 63886919704258.

The square root of 85240791968836 is 9232594.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 58114611410436 + 27126180558400 = 7623294^2 + 5208280^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 149808069960 + ... + 149808070528.

It is a 2-persistent number, because it is pandigital, and so is 2⋅85240791968836 = 170481583937672, but 3⋅85240791968836 = 255722375906508 is not.

Almost surely, 2^{85240791968836} is an apocalyptic number.

85240791968836 is the 9232594-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85240791968836

85240791968836 is an abundant number, since it is smaller than the sum of its proper divisors (101278034266451).

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

85240791968836 is an equidigital number, since it uses as much as digits as its factorization.

85240791968836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 76.

The spelling of 85240791968836 in words is "eighty-five trillion, two hundred forty billion, seven hundred ninety-one million, nine hundred sixty-eight thousand, eight hundred thirty-six".