863093916800 has 192 divisors, whose sum is σ = 2335380157800. Its totient is φ = 313724436480.

The previous prime is 863093916791. The next prime is 863093916821. The reversal of 863093916800 is 8619390368.

It can be written as a sum of positive squares in 12 ways, for example, as 186133570624 + 676960346176 = 431432^2 + 822776^2 .

It is a super-2 number, since 2×863093916800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1304054 + ... + 1851146.

Almost surely, 2^863093916800 is an apocalyptic number.

863093916800 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 863093916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167690078900).

863093916800 is an abundant number, since it is smaller than the sum of its proper divisors (1472286241000).

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

863093916800 is a wasteful number, since it uses less digits than its factorization.

863093916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547163 (or 547146 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 863093916800 in words is "eight hundred sixty-three billion, ninety-three million, nine hundred sixteen thousand, eight hundred".