85448807057040 has 640 divisors, whose sum is σ = 322166831431680. Its totient is φ = 18289150623744.

The previous prime is 85448807057027. The next prime is 85448807057041. The reversal of 85448807057040 is 4075070884458.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (85448807057041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8716592779 + ... + 8716602581.

It is an arithmetic number, because the mean of its divisors is an integer number (503385674112).

Almost surely, 2^{85448807057040} is an apocalyptic number.

85448807057040 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 85448807057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161083415715840).

85448807057040 is an abundant number, since it is smaller than the sum of its proper divisors (236718024374640).

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

85448807057040 is a wasteful number, since it uses less digits than its factorization.

85448807057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11359 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 40140800, while the sum is 60.

The spelling of 85448807057040 in words is "eighty-five trillion, four hundred forty-eight billion, eight hundred seven million, fifty-seven thousand, forty".