85452382080000 has 4400 divisors, whose sum is σ = 370483081214400. Its totient is φ = 19444727808000.

The previous prime is 85452382079929. The next prime is 85452382080001. The reversal of 85452382080000 is 8028325458.

85452382080000 is a `hidden beast` number, since 8 + 545 + 2 + 3 + 8 + 20 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85452382080001) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 573505919926 + ... + 573505920074.

It is an arithmetic number, because the mean of its divisors is an integer number (84200700276).

Almost surely, 2^{85452382080000} is an apocalyptic number.

85452382080000 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 85452382080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185241540607200).

85452382080000 is an abundant number, since it is smaller than the sum of its proper divisors (285030699134400).

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

85452382080000 is a wasteful number, since it uses less digits than its factorization.

85452382080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 85452382080000 in words is "eighty-five trillion, four hundred fifty-two billion, three hundred eighty-two million, eighty thousand".