85040915904 has 672 divisors, whose sum is σ = 306470304000. Its totient is φ = 23022655488.

The previous prime is 85040915903. The next prime is 85040915951. The reversal of 85040915904 is 40951904058.

85040915904 is a `hidden beast` number, since 8 + 50 + 4 + 0 + 9 + 1 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 85040915904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85040915903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144873499 + ... + 144874085.

It is an arithmetic number, because the mean of its divisors is an integer number (456057000).

Almost surely, 2^85040915904 is an apocalyptic number.

85040915904 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 85040915904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153235152000).

85040915904 is an abundant number, since it is smaller than the sum of its proper divisors (221429388096).

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

85040915904 is a wasteful number, since it uses less digits than its factorization.

85040915904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 85040915904 in words is "eighty-five billion, forty million, nine hundred fifteen thousand, nine hundred four".