85229219520 has 896 divisors, whose sum is σ = 326550528000. Its totient is φ = 20875345920.

The previous prime is 85229219513. The next prime is 85229219521. The reversal of 85229219520 is 2591292258.

It is a happy number.

85229219520 is a `hidden beast` number, since 8 + 5 + 22 + 92 + 19 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85229219521) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 957631636 + ... + 957631724.

Almost surely, 2^85229219520 is an apocalyptic number.

85229219520 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 85229219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163275264000).

85229219520 is an abundant number, since it is smaller than the sum of its proper divisors (241321308480).

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

85229219520 is a wasteful number, since it uses less digits than its factorization.

85229219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 85229219520 in words is "eighty-five billion, two hundred twenty-nine million, two hundred nineteen thousand, five hundred twenty".