85873915680 has 384 divisors, whose sum is σ = 323516809728. Its totient is φ = 18736054272.

The previous prime is 85873915679. The next prime is 85873915691. The reversal of 85873915680 is 8651937858.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6582444 + ... + 6595476.

It is an arithmetic number, because the mean of its divisors is an integer number (842491692).

Almost surely, 2^85873915680 is an apocalyptic number.

85873915680 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 85873915680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161758404864).

85873915680 is an abundant number, since it is smaller than the sum of its proper divisors (237642894048).

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

85873915680 is a wasteful number, since it uses less digits than its factorization.

85873915680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148 (or 13140 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 85873915680 in words is "eighty-five billion, eight hundred seventy-three million, nine hundred fifteen thousand, six hundred eighty".