85444250080 has 192 divisors, whose sum is σ = 232706597760. Its totient is φ = 29041459200.

The previous prime is 85444250077. The next prime is 85444250083. The reversal of 85444250080 is 8005244458.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85444250077) and next prime (85444250083).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85444250083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105616716 + ... + 105617524.

It is an arithmetic number, because the mean of its divisors is an integer number (1212013530).

Almost surely, 2^85444250080 is an apocalyptic number.

85444250080 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 85444250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116353298880).

85444250080 is an abundant number, since it is smaller than the sum of its proper divisors (147262347680).

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

85444250080 is a wasteful number, since it uses less digits than its factorization.

85444250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 40.

The spelling of 85444250080 in words is "eighty-five billion, four hundred forty-four million, two hundred fifty thousand, eighty".