85423858416 has 560 divisors, whose sum is σ = 292358787840. Its totient is φ = 23917731840.

The previous prime is 85423858357. The next prime is 85423858417. The reversal of 85423858416 is 61485832458.

85423858416 is a `hidden beast` number, since 8 + 5 + 42 + 3 + 8 + 584 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85423858417) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 79909530 + ... + 79910598.

It is an arithmetic number, because the mean of its divisors is an integer number (522069264).

Almost surely, 2^85423858416 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 85423858416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146179393920).

85423858416 is an abundant number, since it is smaller than the sum of its proper divisors (206934929424).

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

85423858416 is a wasteful number, since it uses less digits than its factorization.

85423858416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1135 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 85423858416 in words is "eighty-five billion, four hundred twenty-three million, eight hundred fifty-eight thousand, four hundred sixteen".