85519566720 has 960 divisors, whose sum is σ = 359372874960. Its totient is φ = 19322634240.

The previous prime is 85519566707. The next prime is 85519566757. The reversal of 85519566720 is 2766591558.

85519566720 is a `hidden beast` number, since 8 + 5 + 5 + 1 + 9 + 566 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 332760832 + ... + 332761088.

Almost surely, 2^85519566720 is an apocalyptic number.

85519566720 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 85519566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179686437480).

85519566720 is an abundant number, since it is smaller than the sum of its proper divisors (273853308240).

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

85519566720 is a wasteful number, since it uses less digits than its factorization.

85519566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 85519566720 in words is "eighty-five billion, five hundred nineteen million, five hundred sixty-six thousand, seven hundred twenty".