85382400000 has 288 divisors, whose sum is σ = 284584285440. Its totient is φ = 22763520000.

The previous prime is 85382399951. The next prime is 85382400011. The reversal of 85382400000 is 428358.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19197777 + ... + 19202223.

It is an arithmetic number, because the mean of its divisors is an integer number (988139880).

Almost surely, 2^85382400000 is an apocalyptic number.

85382400000 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 85382400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142292142720).

85382400000 is an abundant number, since it is smaller than the sum of its proper divisors (199201885440).

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

85382400000 is an frugal number, since it uses more digits than its factorization.

85382400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 85382400000 its reverse (428358), we get a palindrome (85382828358).

The spelling of 85382400000 in words is "eighty-five billion, three hundred eighty-two million, four hundred thousand".