85594214246400 has 1728 divisors, whose sum is σ = 339950260540800. Its totient is φ = 21268487208960.

The previous prime is 85594214246399. The next prime is 85594214246407. The reversal of 85594214246400 is 464241249558.

85594214246400 is a `hidden beast` number, since 8 + 5 + 5 + 94 + 2 + 142 + 4 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85594214246407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21785239636 + ... + 21785243564.

It is an arithmetic number, because the mean of its divisors is an integer number (196730474850).

Almost surely, 2^{85594214246400} is an apocalyptic number.

85594214246400 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 85594214246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169975130270400).

85594214246400 is an abundant number, since it is smaller than the sum of its proper divisors (254356046294400).

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

85594214246400 is a wasteful number, since it uses less digits than its factorization.

85594214246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 85594214246400 in words is "eighty-five trillion, five hundred ninety-four billion, two hundred fourteen million, two hundred forty-six thousand, four hundred".