85431218400 has 1152 divisors, whose sum is σ = 357907092480. Its totient is φ = 19707494400.

The previous prime is 85431218371. The next prime is 85431218417. The reversal of 85431218400 is 481213458.

85431218400 is a `hidden beast` number, since 8 + 5 + 4 + 31 + 218 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 442648704 + ... + 442648896.

It is an arithmetic number, because the mean of its divisors is an integer number (310683240).

Almost surely, 2^85431218400 is an apocalyptic number.

85431218400 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 85431218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178953546240).

85431218400 is an abundant number, since it is smaller than the sum of its proper divisors (272475874080).

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

85431218400 is a wasteful number, since it uses less digits than its factorization.

85431218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 85431218400 in words is "eighty-five billion, four hundred thirty-one million, two hundred eighteen thousand, four hundred".