85504618350 has 144 divisors (see below), whose sum is σ = 231239355984. Its totient is φ = 22651200000.

The previous prime is 85504618337. The next prime is 85504618373. The reversal of 85504618350 is 5381640558.

85504618350 is a `hidden beast` number, since 8 + 5 + 504 + 61 + 83 + 5 + 0 = 666.

It is a super-2 number, since 2×85504618350² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 85504618296 and 85504618305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58846224 + ... + 58847676.

It is an arithmetic number, because the mean of its divisors is an integer number (1605828861).

Almost surely, 2^85504618350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85504618350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115619677992).

85504618350 is an abundant number, since it is smaller than the sum of its proper divisors (145734737634).

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

85504618350 is a wasteful number, since it uses less digits than its factorization.

85504618350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 85504618350 in words is "eighty-five billion, five hundred four million, six hundred eighteen thousand, three hundred fifty".