85224960000 has 780 divisors, whose sum is σ = 321342693672. Its totient is φ = 22560768000.

The previous prime is 85224959983. The next prime is 85224960011. The reversal of 85224960000 is 6942258.

It is a happy number.

85224960000 is a `hidden beast` number, since 8 + 5 + 2 + 2 + 49 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 622079932 + ... + 622080068.

Almost surely, 2^85224960000 is an apocalyptic number.

85224960000 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 85224960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160671346836).

85224960000 is an abundant number, since it is smaller than the sum of its proper divisors (236117733672).

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

85224960000 is an frugal number, since it uses more digits than its factorization.

85224960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 85224960000 in words is "eighty-five billion, two hundred twenty-four million, nine hundred sixty thousand".