85200167340 has 72 divisors (see below), whose sum is σ = 261980828928. Its totient is φ = 22408807680.

The previous prime is 85200167329. The next prime is 85200167341. The reversal of 85200167340 is 4376100258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85200167295 and 85200167304.

It is not an unprimeable number, because it can be changed into a prime (85200167341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3228876 + ... + 3255155.

It is an arithmetic number, because the mean of its divisors is an integer number (3638622624).

Almost surely, 2^85200167340 is an apocalyptic number.

It is an amenable number.

85200167340 is an abundant number, since it is smaller than the sum of its proper divisors (176780661588).

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

85200167340 is a wasteful number, since it uses less digits than its factorization.

85200167340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484119 (or 6484114 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 85200167340 its reverse (4376100258), we get a palindrome (89576267598).

The spelling of 85200167340 in words is "eighty-five billion, two hundred million, one hundred sixty-seven thousand, three hundred forty".