85263917760 has 1008 divisors, whose sum is σ = 361359468288. Its totient is φ = 18744514560.

The previous prime is 85263917749. The next prime is 85263917777. The reversal of 85263917760 is 6771936258.

85263917760 is a `hidden beast` number, since 8 + 526 + 39 + 17 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85263917697 and 85263917706.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 523091439 + ... + 523091601.

It is an arithmetic number, because the mean of its divisors is an integer number (358491536).

Almost surely, 2^85263917760 is an apocalyptic number.

85263917760 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 85263917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180679734144).

85263917760 is an abundant number, since it is smaller than the sum of its proper divisors (276095550528).

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

85263917760 is a wasteful number, since it uses less digits than its factorization.

85263917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 85263917760 in words is "eighty-five billion, two hundred sixty-three million, nine hundred seventeen thousand, seven hundred sixty".