86522145660 has 576 divisors, whose sum is σ = 309086668800. Its totient is φ = 19430129664.

The previous prime is 86522145631. The next prime is 86522145707. The reversal of 86522145660 is 6654122568.

86522145660 is a `hidden beast` number, since 8 + 6 + 522 + 14 + 56 + 60 = 666.

It is a super-2 number, since 2×86522145660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119012217 + ... + 119012943.

It is an arithmetic number, because the mean of its divisors is an integer number (536608800).

Almost surely, 2^86522145660 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 86522145660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154543334400).

86522145660 is an abundant number, since it is smaller than the sum of its proper divisors (222564523140).

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

86522145660 is a wasteful number, since it uses less digits than its factorization.

86522145660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 86522145660 in words is "eighty-six billion, five hundred twenty-two million, one hundred forty-five thousand, six hundred sixty".