85983226812 has 192 divisors, whose sum is σ = 256975380480. Its totient is φ = 24354432000.

The previous prime is 85983226801. The next prime is 85983226837. The reversal of 85983226812 is 21862238958.

It is a happy number.

85983226812 is a `hidden beast` number, since 8 + 598 + 32 + 2 + 6 + 8 + 12 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 54870453 + ... + 54872019.

It is an arithmetic number, because the mean of its divisors is an integer number (1338413440).

Almost surely, 2^85983226812 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 85983226812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128487690240).

85983226812 is an abundant number, since it is smaller than the sum of its proper divisors (170992153668).

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

85983226812 is a wasteful number, since it uses less digits than its factorization.

85983226812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2161 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 85983226812 in words is "eighty-five billion, nine hundred eighty-three million, two hundred twenty-six thousand, eight hundred twelve".