85741877760 has 960 divisors, whose sum is σ = 352664928000. Its totient is φ = 17750261760.

The previous prime is 85741877747. The next prime is 85741877777. The reversal of 85741877760 is 6777814758.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 85741877694 and 85741877703.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318742906 + ... + 318743174.

It is an arithmetic number, because the mean of its divisors is an integer number (367359300).

Almost surely, 2^85741877760 is an apocalyptic number.

85741877760 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 85741877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464000).

85741877760 is an abundant number, since it is smaller than the sum of its proper divisors (266923050240).

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

85741877760 is a wasteful number, since it uses less digits than its factorization.

85741877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 60.

The spelling of 85741877760 in words is "eighty-five billion, seven hundred forty-one million, eight hundred seventy-seven thousand, seven hundred sixty".