85658910343680 has 320 divisors, whose sum is σ = 274492339723008. Its totient is φ = 22788086169600.

The previous prime is 85658910343679. The next prime is 85658910343691. The reversal of 85658910343680 is 8634301985658.

It is a tau number, because it is divible by the number of its divisors (320).

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, 7546370005 + ... + 7546381355.

Almost surely, 2^{85658910343680} is an apocalyptic number.

85658910343680 is a gapful number since it is divisible by the number (80) 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 85658910343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137246169861504).

85658910343680 is an abundant number, since it is smaller than the sum of its proper divisors (188833429379328).

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

85658910343680 is a wasteful number, since it uses less digits than its factorization.

85658910343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13627 (or 13611 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 66.

The spelling of 85658910343680 in words is "eighty-five trillion, six hundred fifty-eight billion, nine hundred ten million, three hundred forty-three thousand, six hundred eighty".