86804040960 has 864 divisors, whose sum is σ = 385986343680. Its totient is φ = 18310053888.

The previous prime is 86804040959. The next prime is 86804040979. The reversal of 86804040960 is 6904040868.

It is a happy number.

86804040960 is a `hidden beast` number, since 86 + 80 + 404 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 22012749 + ... + 22016691.

Almost surely, 2^86804040960 is an apocalyptic number.

86804040960 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 86804040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192993171840).

86804040960 is an abundant number, since it is smaller than the sum of its proper divisors (299182302720).

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

86804040960 is a wasteful number, since it uses less digits than its factorization.

86804040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 86804040960 in words is "eighty-six billion, eight hundred four million, forty thousand, nine hundred sixty".