85957444224 has 192 divisors, whose sum is σ = 253191744000. Its totient is φ = 27978786816.

The previous prime is 85957444219. The next prime is 85957444231. The reversal of 85957444224 is 42244475958.

85957444224 is a `hidden beast` number, since 8 + 5 + 9 + 574 + 4 + 42 + 24 = 666.

It is a Cunningham number, because it is equal to 293185²-1.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27557737 + ... + 27560855.

It is an arithmetic number, because the mean of its divisors is an integer number (1318707000).

Almost surely, 2^85957444224 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 85957444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126595872000).

85957444224 is an abundant number, since it is smaller than the sum of its proper divisors (167234299776).

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

85957444224 is a wasteful number, since it uses less digits than its factorization.

85957444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3680 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 85957444224 in words is "eighty-five billion, nine hundred fifty-seven million, four hundred forty-four thousand, two hundred twenty-four".