85549824756 has 72 divisors (see below), whose sum is σ = 244647565344. Its totient is φ = 25924186080.

The previous prime is 85549824751. The next prime is 85549824779. The reversal of 85549824756 is 65742894558.

85549824756 is a `hidden beast` number, since 8 + 5 + 549 + 82 + 4 + 7 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85549824693 and 85549824702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85549824751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3989955 + ... + 4011338.

It is an arithmetic number, because the mean of its divisors is an integer number (3397882852).

Almost surely, 2^85549824756 is an apocalyptic number.

It is an amenable number.

85549824756 is an abundant number, since it is smaller than the sum of its proper divisors (159097740588).

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

85549824756 is a wasteful number, since it uses less digits than its factorization.

85549824756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8001323 (or 8001309 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 85549824756 in words is "eighty-five billion, five hundred forty-nine million, eight hundred twenty-four thousand, seven hundred fifty-six".