863405975980800 has 4320 divisors, whose sum is σ = 4000033021501440. Its totient is φ = 179194075545600.

The previous prime is 863405975980799. The next prime is 863405975980811. The reversal of 863405975980800 is 8089579504368.

863405975980800 is a `hidden beast` number, since 8 + 6 + 3 + 405 + 97 + 59 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 973400197957 + ... + 973400198843.

It is an arithmetic number, because the mean of its divisors is an integer number (925933569792).

Almost surely, 2^{863405975980800} is an apocalyptic number.

863405975980800 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 863405975980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000016510750720).

863405975980800 is an abundant number, since it is smaller than the sum of its proper divisors (3136627045520640).

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

863405975980800 is a wasteful number, since it uses less digits than its factorization.

863405975980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 863405975980800 in words is "eight hundred sixty-three trillion, four hundred five billion, nine hundred seventy-five million, nine hundred eighty thousand, eight hundred".