85824010439760 has 320 divisors, whose sum is σ = 281184235557120. Its totient is φ = 21594727710720.

The previous prime is 85824010439759. The next prime is 85824010439767. The reversal of 85824010439760 is 6793401042858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 85824010439760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85824010439767) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1707133984 + ... + 1707184256.

It is an arithmetic number, because the mean of its divisors is an integer number (878700736116).

It is a 1-persistent number, because it is pandigital, but 2⋅85824010439760 = 171648020879520 is not.

Almost surely, 2^{85824010439760} is an apocalyptic number.

85824010439760 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 85824010439760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140592117778560).

85824010439760 is an abundant number, since it is smaller than the sum of its proper divisors (195360225117360).

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

85824010439760 is a wasteful number, since it uses less digits than its factorization.

85824010439760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51806 (or 51800 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 85824010439760 in words is "eighty-five trillion, eight hundred twenty-four billion, ten million, four hundred thirty-nine thousand, seven hundred sixty".