85104144720 has 1280 divisors, whose sum is σ = 376047360000. Its totient is φ = 17600937984.

The previous prime is 85104144707. The next prime is 85104144733. The reversal of 85104144720 is 2744140158.

It is a happy number.

85104144720 is a `hidden beast` number, since 85 + 104 + 1 + 4 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85104144707) and next prime (85104144733).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 365253724 + ... + 365253956.

It is an arithmetic number, because the mean of its divisors is an integer number (293787000).

Almost surely, 2^85104144720 is an apocalyptic number.

85104144720 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 85104144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680000).

85104144720 is an abundant number, since it is smaller than the sum of its proper divisors (290943215280).

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

85104144720 is a wasteful number, since it uses less digits than its factorization.

85104144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 85104144720 its reverse (2744140158), we get a palindrome (87848284878).

The spelling of 85104144720 in words is "eighty-five billion, one hundred four million, one hundred forty-four thousand, seven hundred twenty".