85245235920 has 810 divisors, whose sum is σ = 332623182294. Its totient is φ = 20306557440.

The previous prime is 85245235919. The next prime is 85245235939. The reversal of 85245235920 is 2953254258.

85245235920 is a `hidden beast` number, since 8 + 5 + 2 + 4 + 52 + 3 + 592 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 403527744 + 84841708176 = 20088^2 + 291276^2 .

It is a tau number, because it is divible by the number of its divisors (810).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2749846305 + ... + 2749846335.

Almost surely, 2^85245235920 is an apocalyptic number.

85245235920 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 85245235920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166311591147).

85245235920 is an abundant number, since it is smaller than the sum of its proper divisors (247377946374).

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

85245235920 is an equidigital number, since it uses as much as digits as its factorization.

85245235920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Multiplying 85245235920 by its sum of digits (45), we get a square (3836035616400 = 1958580²).

85245235920 divided by its sum of digits (45) gives a square (1894338576 = 43524²).

The spelling of 85245235920 in words is "eighty-five billion, two hundred forty-five million, two hundred thirty-five thousand, nine hundred twenty".