85418824104 has 160 divisors (see below), whose sum is σ = 253571472000. Its totient is φ = 26772042240.

The previous prime is 85418824103. The next prime is 85418824129. The reversal of 85418824104 is 40142881458.

85418824104 is a `hidden beast` number, since 8 + 54 + 188 + 2 + 410 + 4 = 666.

It is a super-2 number, since 2×85418824104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85418824104.

It is not an unprimeable number, because it can be changed into a prime (85418824103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13557547 + ... + 13563845.

It is an arithmetic number, because the mean of its divisors is an integer number (1584821700).

Almost surely, 2^85418824104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85418824104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126785736000).

85418824104 is an abundant number, since it is smaller than the sum of its proper divisors (168152647896).

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

85418824104 is a wasteful number, since it uses less digits than its factorization.

85418824104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 85418824104 in words is "eighty-five billion, four hundred eighteen million, eight hundred twenty-four thousand, one hundred four".