85417613568 has 648 divisors, whose sum is σ = 314894780928. Its totient is φ = 21735309312.

The previous prime is 85417613537. The next prime is 85417613573. The reversal of 85417613568 is 86531671458.

It is a happy number.

85417613568 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 76 + 1 + 3 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98977105 + ... + 98977967.

It is an arithmetic number, because the mean of its divisors is an integer number (485948736).

Almost surely, 2^85417613568 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 85417613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157447390464).

85417613568 is an abundant number, since it is smaller than the sum of its proper divisors (229477167360).

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

85417613568 is a wasteful number, since it uses less digits than its factorization.

85417613568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 911 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 85417613568 in words is "eighty-five billion, four hundred seventeen million, six hundred thirteen thousand, five hundred sixty-eight".