85170742416 has 120 divisors (see below), whose sum is σ = 239644965560. Its totient is φ = 28237621248.

The previous prime is 85170742403. The next prime is 85170742451. The reversal of 85170742416 is 61424707158.

It can be written as a sum of positive squares in 4 ways, for example, as 21757430016 + 63413312400 = 147504^2 + 251820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21966270 + ... + 21970146.

Almost surely, 2^85170742416 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 85170742416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822482780).

85170742416 is an abundant number, since it is smaller than the sum of its proper divisors (154474223144).

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

85170742416 is a wasteful number, since it uses less digits than its factorization.

85170742416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 85170742416 in words is "eighty-five billion, one hundred seventy million, seven hundred forty-two thousand, four hundred sixteen".