85241766162960 has 160 divisors (see below), whose sum is σ = 320302394156160. Its totient is φ = 20664670579200.

The previous prime is 85241766162953. The next prime is 85241766163027. The reversal of 85241766162960 is 6926166714258.

85241766162960 is a `hidden beast` number, since 8 + 5 + 2 + 4 + 1 + 7 + 6 + 616 + 2 + 9 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1793784451 + ... + 1793831970.

It is an arithmetic number, because the mean of its divisors is an integer number (2001889963476).

Almost surely, 2^{85241766162960} is an apocalyptic number.

85241766162960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85241766162960 is an abundant number, since it is smaller than the sum of its proper divisors (235060627993200).

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

85241766162960 is a wasteful number, since it uses less digits than its factorization.

85241766162960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587616454 (or 3587616442 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 85241766162960 in words is "eighty-five trillion, two hundred forty-one billion, seven hundred sixty-six million, one hundred sixty-two thousand, nine hundred sixty".