85668327410400 has 1152 divisors, whose sum is σ = 358153076736000. Its totient is φ = 19358246246400.

The previous prime is 85668327410381. The next prime is 85668327410417. The reversal of 85668327410400 is 401472386658.

It is a happy number.

85668327410400 is a `hidden beast` number, since 8 + 566 + 8 + 3 + 2 + 74 + 1 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4707300501 + ... + 4707318699.

It is an arithmetic number, because the mean of its divisors is an integer number (310896768000).

Almost surely, 2^{85668327410400} is an apocalyptic number.

85668327410400 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 85668327410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179076538368000).

85668327410400 is an abundant number, since it is smaller than the sum of its proper divisors (272484749325600).

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

85668327410400 is a wasteful number, since it uses less digits than its factorization.

85668327410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18589 (or 18570 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 85668327410400 in words is "eighty-five trillion, six hundred sixty-eight billion, three hundred twenty-seven million, four hundred ten thousand, four hundred".