86640561432832 has 216 divisors, whose sum is σ = 203351155498008. Its totient is φ = 36683340840960.

The previous prime is 86640561432827. The next prime is 86640561432833. The reversal of 86640561432832 is 23823416504668.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41021667993856 + 45618893438976 = 6404816^2 + 6754176^2 .

It is not an unprimeable number, because it can be changed into a prime (86640561432833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50231328 + ... + 51927520.

It is an arithmetic number, because the mean of its divisors is an integer number (941440534713).

Almost surely, 2^{86640561432832} 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 86640561432832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101675577749004).

86640561432832 is an abundant number, since it is smaller than the sum of its proper divisors (116710594065176).

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

86640561432832 is a wasteful number, since it uses less digits than its factorization.

86640561432832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696345 (or 1696320 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 58.

The spelling of 86640561432832 in words is "eighty-six trillion, six hundred forty billion, five hundred sixty-one million, four hundred thirty-two thousand, eight hundred thirty-two".