864000000000000 has 936 divisors, whose sum is σ = 3199987790347320. Its totient is φ = 230400000000000.

The previous prime is 863999999999993. The next prime is 864000000000017. The reversal of 864000000000000 is 468.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 172799999999998 + ... + 172800000000002.

Almost surely, 2^{864000000000000} is an apocalyptic number.

864000000000000 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 864000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599993895173660).

864000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2335987790347320).

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

864000000000000 is an frugal number, since it uses more digits than its factorization.

864000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 864000000000000 its reverse (468), we get a palindrome (864000000000468).

It can be divided in two parts, 8 and 64000000000000, that multiplied together give a cube (512000000000000 = 80000³).

The spelling of 864000000000000 in words is "eight hundred sixty-four trillion", and thus it is an aban number.