85384068000 has 1152 divisors, whose sum is σ = 364405257216. Its totient is φ = 17273088000.

The previous prime is 85384067969. The next prime is 85384068017. The reversal of 85384068000 is 86048358.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 278123847 + ... + 278124153.

It is an arithmetic number, because the mean of its divisors is an integer number (316324008).

Almost surely, 2^85384068000 is an apocalyptic number.

85384068000 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 85384068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182202628608).

85384068000 is an abundant number, since it is smaller than the sum of its proper divisors (279021189216).

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

85384068000 is a wasteful number, since it uses less digits than its factorization.

85384068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 85384068000 in words is "eighty-five billion, three hundred eighty-four million, sixty-eight thousand".