86064168960 has 816 divisors, whose sum is σ = 372954666240. Its totient is φ = 17836277760.

The previous prime is 86064168923. The next prime is 86064168961. The reversal of 86064168960 is 6986146068.

It is a junction number, because it is equal to n+sod(n) for n = 86064168897 and 86064168906.

It is not an unprimeable number, because it can be changed into a prime (86064168961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227082051 + ... + 227082429.

Almost surely, 2^86064168960 is an apocalyptic number.

86064168960 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 86064168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186477333120).

86064168960 is an abundant number, since it is smaller than the sum of its proper divisors (286890497280).

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

86064168960 is a wasteful number, since it uses less digits than its factorization.

86064168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 86064168960 in words is "eighty-six billion, sixty-four million, one hundred sixty-eight thousand, nine hundred sixty".