85824388000 has 384 divisors, whose sum is σ = 234945494784. Its totient is φ = 30610944000.

The previous prime is 85824387991. The next prime is 85824388003. The reversal of 85824388000 is 88342858.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85824388003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292915854 + ... + 292916146.

It is an arithmetic number, because the mean of its divisors is an integer number (611837226).

Almost surely, 2^85824388000 is an apocalyptic number.

85824388000 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 85824388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117472747392).

85824388000 is an abundant number, since it is smaller than the sum of its proper divisors (149121106784).

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

85824388000 is a wasteful number, since it uses less digits than its factorization.

85824388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 85824388000 in words is "eighty-five billion, eight hundred twenty-four million, three hundred eighty-eight thousand".