85944265440 has 384 divisors, whose sum is σ = 307440645120. Its totient is φ = 19990118400.

The previous prime is 85944265427. The next prime is 85944265441. The reversal of 85944265440 is 4456244958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85944265441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25569360 + ... + 25572720.

It is an arithmetic number, because the mean of its divisors is an integer number (800626680).

Almost surely, 2^85944265440 is an apocalyptic number.

85944265440 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 85944265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153720322560).

85944265440 is an abundant number, since it is smaller than the sum of its proper divisors (221496379680).

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

85944265440 is a wasteful number, since it uses less digits than its factorization.

85944265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 85944265440 in words is "eighty-five billion, nine hundred forty-four million, two hundred sixty-five thousand, four hundred forty".