85499507520 has 1344 divisors, whose sum is σ = 376586496000. Its totient is φ = 17362501632.

The previous prime is 85499507519. The next prime is 85499507543. The reversal of 85499507520 is 2570599458.

85499507520 is a `hidden beast` number, since 8 + 549 + 9 + 5 + 0 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 477650791 + ... + 477650969.

Almost surely, 2^85499507520 is an apocalyptic number.

85499507520 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 85499507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248000).

85499507520 is an abundant number, since it is smaller than the sum of its proper divisors (291086988480).

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

85499507520 is a wasteful number, since it uses less digits than its factorization.

85499507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

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

The spelling of 85499507520 in words is "eighty-five billion, four hundred ninety-nine million, five hundred seven thousand, five hundred twenty".