86146560005760 has 96 divisors (see below), whose sum is σ = 297474840039780. Its totient is φ = 22972416000000.

The previous prime is 86146560005729. The next prime is 86146560005771. The reversal of 86146560005760 is 6750006564168.

86146560005760 is a `hidden beast` number, since 8 + 6 + 1 + 4 + 6 + 5 + 60 + 0 + 0 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79362868885056 + 6783691120704 = 8908584^2 + 2604552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 86146560005697 and 86146560005706.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7477994241 + ... + 7478005760.

Almost surely, 2^{86146560005760} is an apocalyptic number.

86146560005760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86146560005760 is an abundant number, since it is smaller than the sum of its proper divisors (211328280034020).

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

86146560005760 is a wasteful number, since it uses less digits than its factorization.

86146560005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14956000026 (or 14956000011 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 86146560005760 in words is "eighty-six trillion, one hundred forty-six billion, five hundred sixty million, five thousand, seven hundred sixty".