85841211456 has 448 divisors, whose sum is σ = 338836162560. Its totient is φ = 20580894720.

The previous prime is 85841211439. The next prime is 85841211461. The reversal of 85841211456 is 65411214858.

85841211456 is a `hidden beast` number, since 8 + 584 + 1 + 2 + 1 + 14 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1704915 + ... + 1754541.

It is an arithmetic number, because the mean of its divisors is an integer number (756330720).

Almost surely, 2^85841211456 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 85841211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169418081280).

85841211456 is an abundant number, since it is smaller than the sum of its proper divisors (252994951104).

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

85841211456 is a wasteful number, since it uses less digits than its factorization.

85841211456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49679 (or 49663 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The spelling of 85841211456 in words is "eighty-five billion, eight hundred forty-one million, two hundred eleven thousand, four hundred fifty-six".