85422219830400 has 576 divisors, whose sum is σ = 296215460818560. Its totient is φ = 21628387123200.

The previous prime is 85422219830333. The next prime is 85422219830411. The reversal of 85422219830400 is 403891222458.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85422219830400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 488869449 + ... + 489044151.

It is an arithmetic number, because the mean of its divisors is an integer number (514262952810).

Almost surely, 2^{85422219830400} is an apocalyptic number.

85422219830400 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 85422219830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148107730409280).

85422219830400 is an abundant number, since it is smaller than the sum of its proper divisors (210793240988160).

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

85422219830400 is a wasteful number, since it uses less digits than its factorization.

85422219830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174845 (or 174797 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 85422219830400 in words is "eighty-five trillion, four hundred twenty-two billion, two hundred nineteen million, eight hundred thirty thousand, four hundred".