85285103904 has 768 divisors, whose sum is σ = 344865669120. Its totient is φ = 19782144000.

The previous prime is 85285103903. The next prime is 85285103971. The reversal of 85285103904 is 40930158258.

85285103904 is a `hidden beast` number, since 85 + 28 + 510 + 39 + 0 + 4 = 666.

It is a super-3 number, since 3×85285103904³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85285103904.

It is not an unprimeable number, because it can be changed into a prime (85285103903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26809194 + ... + 26812374.

It is an arithmetic number, because the mean of its divisors is an integer number (449043840).

Almost surely, 2^85285103904 is an apocalyptic number.

85285103904 is a gapful number since it is divisible by the number (84) 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 85285103904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172432834560).

85285103904 is an abundant number, since it is smaller than the sum of its proper divisors (259580565216).

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

85285103904 is a wasteful number, since it uses less digits than its factorization.

85285103904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 85285103904 in words is "eighty-five billion, two hundred eighty-five million, one hundred three thousand, nine hundred four".