85930247680 has 80 divisors (see below), whose sum is σ = 206571492864. Its totient is φ = 34281963520.

The previous prime is 85930247677. The next prime is 85930247707. The reversal of 85930247680 is 8674203958.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×85930247680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936660 + ... + 1024300.

Almost surely, 2^85930247680 is an apocalyptic number.

85930247680 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 85930247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103285746432).

85930247680 is an abundant number, since it is smaller than the sum of its proper divisors (120641245184).

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

85930247680 is an equidigital number, since it uses as much as digits as its factorization.

85930247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88047 (or 88031 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 85930247680 in words is "eighty-five billion, nine hundred thirty million, two hundred forty-seven thousand, six hundred eighty".