863288616960 has 1440 divisors, whose sum is σ = 3928744179360. Its totient is φ = 179291750400.

The previous prime is 863288616959. The next prime is 863288616961. The reversal of 863288616960 is 69616882368.

863288616960 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 8 + 8 + 616 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (863288616959) and next prime (863288616961).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (863288616961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447067195 + ... + 447069125.

It is an arithmetic number, because the mean of its divisors is an integer number (2728294569).

Almost surely, 2^863288616960 is an apocalyptic number.

863288616960 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 863288616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964372089680).

863288616960 is an abundant number, since it is smaller than the sum of its proper divisors (3065455562400).

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

863288616960 is a wasteful number, since it uses less digits than its factorization.

863288616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 863288616960 in words is "eight hundred sixty-three billion, two hundred eighty-eight million, six hundred sixteen thousand, nine hundred sixty".