85417682376 has 128 divisors (see below), whose sum is σ = 231809921280. Its totient is φ = 26072825856.

The previous prime is 85417682353. The next prime is 85417682423. The reversal of 85417682376 is 67328671458.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 32146840 + ... + 32149496.

It is an arithmetic number, because the mean of its divisors is an integer number (1811015010).

Almost surely, 2^85417682376 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 85417682376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115904960640).

85417682376 is an abundant number, since it is smaller than the sum of its proper divisors (146392238904).

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

85417682376 is a wasteful number, since it uses less digits than its factorization.

85417682376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3459 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 85417682376 in words is "eighty-five billion, four hundred seventeen million, six hundred eighty-two thousand, three hundred seventy-six".