85417910424 has 480 divisors, whose sum is σ = 316401254400. Its totient is φ = 21016195200.

The previous prime is 85417910381. The next prime is 85417910437. The reversal of 85417910424 is 42401971458.

85417910424 is a `hidden beast` number, since 8 + 54 + 179 + 1 + 0 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85417910424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10424169 + ... + 10432359.

It is an arithmetic number, because the mean of its divisors is an integer number (659169280).

Almost surely, 2^85417910424 is an apocalyptic number.

85417910424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85417910424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158200627200).

85417910424 is an abundant number, since it is smaller than the sum of its proper divisors (230983343976).

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

85417910424 is a wasteful number, since it uses less digits than its factorization.

85417910424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85417910424 in words is "eighty-five billion, four hundred seventeen million, nine hundred ten thousand, four hundred twenty-four".