85504551968 has 96 divisors (see below), whose sum is σ = 191753920512. Its totient is φ = 37150854400.

The previous prime is 85504551947. The next prime is 85504551997. The reversal of 85504551968 is 86915540558.

It is a happy number.

It is a super-2 number, since 2×85504551968² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 17088155 + ... + 17093157.

It is an arithmetic number, because the mean of its divisors is an integer number (1997436672).

Almost surely, 2^85504551968 is an apocalyptic number.

85504551968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85504551968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95876960256).

85504551968 is an abundant number, since it is smaller than the sum of its proper divisors (106249368544).

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

85504551968 is a wasteful number, since it uses less digits than its factorization.

85504551968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 56.

The spelling of 85504551968 in words is "eighty-five billion, five hundred four million, five hundred fifty-one thousand, nine hundred sixty-eight".