85350481920 has 544 divisors, whose sum is σ = 331431373440. Its totient is φ = 20667432960.

The previous prime is 85350481849. The next prime is 85350481927. The reversal of 85350481920 is 2918405358.

85350481920 is a `hidden beast` number, since 8 + 53 + 504 + 8 + 1 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85350481927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97320522 + ... + 97321398.

Almost surely, 2^85350481920 is an apocalyptic number.

85350481920 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 85350481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165715686720).

85350481920 is an abundant number, since it is smaller than the sum of its proper divisors (246080891520).

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

85350481920 is an equidigital number, since it uses as much as digits as its factorization.

85350481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 85350481920 in words is "eighty-five billion, three hundred fifty million, four hundred eighty-one thousand, nine hundred twenty".