85516305655680 has 256 divisors, whose sum is σ = 303264145800000. Its totient is φ = 22774690086912.

The previous prime is 85516305655661. The next prime is 85516305655681. The reversal of 85516305655680 is 8655650361558.

85516305655680 is a `hidden beast` number, since 8 + 5 + 5 + 1 + 6 + 3 + 0 + 5 + 65 + 568 + 0 = 666.

85516305655680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85516305655681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10070596 + ... + 16506044.

Almost surely, 2^{85516305655680} is an apocalyptic number.

85516305655680 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 85516305655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632072900000).

85516305655680 is an abundant number, since it is smaller than the sum of its proper divisors (217747840144320).

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

85516305655680 is a wasteful number, since it uses less digits than its factorization.

85516305655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436246 (or 6436228 counting only the distinct ones).

The product of its (nonzero) digits is 129600000, while the sum is 63.

The spelling of 85516305655680 in words is "eighty-five trillion, five hundred sixteen billion, three hundred five million, six hundred fifty-five thousand, six hundred eighty".