85311310560 has 384 divisors, whose sum is σ = 317759791104. Its totient is φ = 18827182080.

The previous prime is 85311310507. The next prime is 85311310577. The reversal of 85311310560 is 6501311358.

It is a Cunningham number, because it is equal to 292081²-1.

It is a congruent number.

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, 70099072 + ... + 70100288.

It is an arithmetic number, because the mean of its divisors is an integer number (827499456).

Almost surely, 2^85311310560 is an apocalyptic number.

85311310560 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 85311310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158879895552).

85311310560 is an abundant number, since it is smaller than the sum of its proper divisors (232448480544).

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

85311310560 is a wasteful number, since it uses less digits than its factorization.

85311310560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 85311310560 in words is "eighty-five billion, three hundred eleven million, three hundred ten thousand, five hundred sixty".