85337855568 has 120 divisors (see below), whose sum is σ = 273023150400. Its totient is φ = 24375324672.

The previous prime is 85337855567. The next prime is 85337855591. The reversal of 85337855568 is 86555873358.

85337855568 is a `hidden beast` number, since 8 + 5 + 3 + 3 + 78 + 5 + 556 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85337855567) 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 23 ways as a sum of consecutive naturals, for example, 4313443 + ... + 4333181.

It is an arithmetic number, because the mean of its divisors is an integer number (2275192920).

Almost surely, 2^85337855568 is an apocalyptic number.

It is an amenable number.

85337855568 is an abundant number, since it is smaller than the sum of its proper divisors (187685294832).

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

85337855568 is a wasteful number, since it uses less digits than its factorization.

85337855568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24049 (or 24040 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 85337855568 in words is "eighty-five billion, three hundred thirty-seven million, eight hundred fifty-five thousand, five hundred sixty-eight".