86164119360 has 840 divisors, whose sum is σ = 341986807008. Its totient is φ = 20574259200.

The previous prime is 86164119343. The next prime is 86164119383. The reversal of 86164119360 is 6391146168.

86164119360 is a `hidden beast` number, since 86 + 16 + 411 + 93 + 60 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 260314395 + ... + 260314725.

Almost surely, 2^86164119360 is an apocalyptic number.

86164119360 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 86164119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170993403504).

86164119360 is an abundant number, since it is smaller than the sum of its proper divisors (255822687648).

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

86164119360 is a wasteful number, since it uses less digits than its factorization.

86164119360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 86164119360 in words is "eighty-six billion, one hundred sixty-four million, one hundred nineteen thousand, three hundred sixty".