85727560707648 has 280 divisors, whose sum is σ = 256031130707352. Its totient is φ = 28361412182016.

The previous prime is 85727560707527. The next prime is 85727560707671. The reversal of 85727560707648 is 84670706572758.

85727560707648 is a `hidden beast` number, since 8 + 5 + 7 + 2 + 7 + 5 + 607 + 0 + 7 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17283575651904 + 68443985055744 = 4157352^2 + 8273088^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4671028840 + ... + 4671047192.

Almost surely, 2^{85727560707648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85727560707648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128015565353676).

85727560707648 is an abundant number, since it is smaller than the sum of its proper divisors (170303569999704).

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

85727560707648 is a wasteful number, since it uses less digits than its factorization.

85727560707648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25091 (or 25072 counting only the distinct ones).

The product of its (nonzero) digits is 1106380800, while the sum is 72.

The spelling of 85727560707648 in words is "eighty-five trillion, seven hundred twenty-seven billion, five hundred sixty million, seven hundred seven thousand, six hundred forty-eight".