85822457600 has 216 divisors, whose sum is σ = 241815272832. Its totient is φ = 29850726400.

The previous prime is 85822457599. The next prime is 85822457627. The reversal of 85822457600 is 675422858.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1592699 + ... + 1645701.

It is an arithmetic number, because the mean of its divisors is an integer number (1119515152).

Almost surely, 2^85822457600 is an apocalyptic number.

85822457600 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 85822457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120907636416).

85822457600 is an abundant number, since it is smaller than the sum of its proper divisors (155992815232).

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

85822457600 is a wasteful number, since it uses less digits than its factorization.

85822457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53063 (or 53044 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The spelling of 85822457600 in words is "eighty-five billion, eight hundred twenty-two million, four hundred fifty-seven thousand, six hundred".