85421970816 has 256 divisors, whose sum is σ = 281130931200. Its totient is φ = 22378291200.

The previous prime is 85421970791. The next prime is 85421970839. The reversal of 85421970816 is 61807912458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5268450 + ... + 5284638.

It is an arithmetic number, because the mean of its divisors is an integer number (1098167700).

Almost surely, 2^85421970816 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 85421970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140565465600).

85421970816 is an abundant number, since it is smaller than the sum of its proper divisors (195708960384).

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

85421970816 is a wasteful number, since it uses less digits than its factorization.

85421970816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16377 (or 16365 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 85421970816 in words is "eighty-five billion, four hundred twenty-one million, nine hundred seventy thousand, eight hundred sixteen".