85608080594400 has 1152 divisors, whose sum is σ = 354755494195200. Its totient is φ = 17814772039680.

The previous prime is 85608080594341. The next prime is 85608080594423. The reversal of 85608080594400 is 449508080658.

It is a happy number.

It is a super-2 number, since 2×85608080594400² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 781162009 + ... + 781271591.

It is an arithmetic number, because the mean of its divisors is an integer number (307947477600).

Almost surely, 2^{85608080594400} is an apocalyptic number.

85608080594400 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 85608080594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177377747097600).

85608080594400 is an abundant number, since it is smaller than the sum of its proper divisors (269147413600800).

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

85608080594400 is a wasteful number, since it uses less digits than its factorization.

85608080594400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109713 (or 109686 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 85608080594400 in words is "eighty-five trillion, six hundred eight billion, eighty million, five hundred ninety-four thousand, four hundred".