85010238720 has 720 divisors, whose sum is σ = 334955839680. Its totient is φ = 20415283200.

The previous prime is 85010238713. The next prime is 85010238721. The reversal of 85010238720 is 2783201058.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85010238721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149402596 + ... + 149403164.

It is an arithmetic number, because the mean of its divisors is an integer number (465216444).

Almost surely, 2^85010238720 is an apocalyptic number.

85010238720 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 85010238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167477919840).

85010238720 is an abundant number, since it is smaller than the sum of its proper divisors (249945600960).

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

85010238720 is a wasteful number, since it uses less digits than its factorization.

85010238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 85010238720 its reverse (2783201058), we get a palindrome (87793439778).

The spelling of 85010238720 in words is "eighty-five billion, ten million, two hundred thirty-eight thousand, seven hundred twenty".