85426569216 has 288 divisors, whose sum is σ = 256690425600. Its totient is φ = 28075622400.

The previous prime is 85426569181. The next prime is 85426569229. The reversal of 85426569216 is 61296562458.

85426569216 is a `hidden beast` number, since 8 + 54 + 2 + 6 + 569 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357433225 + ... + 357433463.

It is an arithmetic number, because the mean of its divisors is an integer number (891286200).

Almost surely, 2^85426569216 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 85426569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128345212800).

85426569216 is an abundant number, since it is smaller than the sum of its proper divisors (171263856384).

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

85426569216 is an equidigital number, since it uses as much as digits as its factorization.

85426569216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 345 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 85426569216 in words is "eighty-five billion, four hundred twenty-six million, five hundred sixty-nine thousand, two hundred sixteen".