85711761519360 has 288 divisors, whose sum is σ = 280173747076608. Its totient is φ = 22319686287360.

The previous prime is 85711761519323. The next prime is 85711761519379. The reversal of 85711761519360 is 6391516711758.

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 = 85711761519294 and 85711761519303.

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, 730267080 + ... + 730384440.

Almost surely, 2^{85711761519360} is an apocalyptic number.

85711761519360 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 85711761519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140086873538304).

85711761519360 is an abundant number, since it is smaller than the sum of its proper divisors (194461985557248).

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

85711761519360 is a wasteful number, since it uses less digits than its factorization.

85711761519360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121851 (or 121837 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 60.

The spelling of 85711761519360 in words is "eighty-five trillion, seven hundred eleven billion, seven hundred sixty-one million, five hundred nineteen thousand, three hundred sixty".