85723577856 has 400 divisors, whose sum is σ = 296603873280. Its totient is φ = 24141680640.

The previous prime is 85723577809. The next prime is 85723577857. The reversal of 85723577856 is 65877532758.

85723577856 is a `hidden beast` number, since 8 + 5 + 7 + 2 + 3 + 577 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 85723577793 and 85723577802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85723577857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20609505 + ... + 20613663.

Almost surely, 2^85723577856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85723577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148301936640).

85723577856 is an abundant number, since it is smaller than the sum of its proper divisors (210880295424).

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

85723577856 is an equidigital number, since it uses as much as digits as its factorization.

85723577856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4242 counting only the distinct ones).

The product of its digits is 98784000, while the sum is 63.

The spelling of 85723577856 in words is "eighty-five billion, seven hundred twenty-three million, five hundred seventy-seven thousand, eight hundred fifty-six".