85318955904 has 1024 divisors, whose sum is σ = 315061125120. Its totient is φ = 19818086400.

The previous prime is 85318955893. The next prime is 85318955923. The reversal of 85318955904 is 40955981358.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 755034952 + ... + 755035064.

It is an arithmetic number, because the mean of its divisors is an integer number (307676880).

Almost surely, 2^85318955904 is an apocalyptic number.

85318955904 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 85318955904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157530562560).

85318955904 is an abundant number, since it is smaller than the sum of its proper divisors (229742169216).

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

85318955904 is a wasteful number, since it uses less digits than its factorization.

85318955904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 57.

The spelling of 85318955904 in words is "eighty-five billion, three hundred eighteen million, nine hundred fifty-five thousand, nine hundred four".