85004351709600 has 288 divisors, whose sum is σ = 286861904663040. Its totient is φ = 21840809472000.

The previous prime is 85004351709593. The next prime is 85004351709601. The reversal of 85004351709600 is 690715340058.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85004351709600.

It is not an unprimeable number, because it can be changed into a prime (85004351709601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14542990 + ... + 19532210.

It is an arithmetic number, because the mean of its divisors is an integer number (996048280080).

Almost surely, 2^{85004351709600} is an apocalyptic number.

85004351709600 is a gapful number since it is divisible by the number (80) 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 85004351709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143430952331520).

85004351709600 is an abundant number, since it is smaller than the sum of its proper divisors (201857552953440).

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

85004351709600 is a wasteful number, since it uses less digits than its factorization.

85004351709600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989504 (or 4989491 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 85004351709600 in words is "eighty-five trillion, four billion, three hundred fifty-one million, seven hundred nine thousand, six hundred".