85344217113600 has 1188 divisors, whose sum is σ = 323864458327696. Its totient is φ = 21460572241920.

The previous prime is 85344217113587. The next prime is 85344217113667. The reversal of 85344217113600 is 631171244358.

85344217113600 is a `hidden beast` number, since 8 + 5 + 3 + 4 + 4 + 21 + 7 + 1 + 13 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8331950079 + ... + 8331960321.

Almost surely, 2^{85344217113600} is an apocalyptic number.

85344217113600 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 85344217113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161932229163848).

85344217113600 is an abundant number, since it is smaller than the sum of its proper divisors (238520241214096).

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

85344217113600 is a wasteful number, since it uses less digits than its factorization.

85344217113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10380 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 85344217113600 its reverse (631171244358), we get a palindrome (85975388357958).

The spelling of 85344217113600 in words is "eighty-five trillion, three hundred forty-four billion, two hundred seventeen million, one hundred thirteen thousand, six hundred".