85626323200000 has 576 divisors, whose sum is σ = 235879937092800. Its totient is φ = 30813388800000.

The previous prime is 85626323199979. The next prime is 85626323200003. The reversal of 85626323200000 is 232362658.

It is not an unprimeable number, because it can be changed into a prime (85626323200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6828793731 + ... + 6828806269.

It is an arithmetic number, because the mean of its divisors is an integer number (409513779675).

Almost surely, 2^{85626323200000} is an apocalyptic number.

85626323200000 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 85626323200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117939968546400).

85626323200000 is an abundant number, since it is smaller than the sum of its proper divisors (150253613892800).

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

85626323200000 is an equidigital number, since it uses as much as digits as its factorization.

85626323200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12694 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 85626323200000 its reverse (232362658), we get a palindrome (85626555562658).

The spelling of 85626323200000 in words is "eighty-five trillion, six hundred twenty-six billion, three hundred twenty-three million, two hundred thousand".