863400384000 has 2880 divisors, whose sum is σ = 4132292516352. Its totient is φ = 177666048000.

The previous prime is 863400383947. The next prime is 863400384017. The reversal of 863400384000 is 483004368.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8382527949 + ... + 8382528051.

Almost surely, 2^863400384000 is an apocalyptic number.

863400384000 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 863400384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066146258176).

863400384000 is an abundant number, since it is smaller than the sum of its proper divisors (3268892132352).

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

863400384000 is a wasteful number, since it uses less digits than its factorization.

863400384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 863400384000 its reverse (483004368), we get a palindrome (863883388368).

The spelling of 863400384000 in words is "eight hundred sixty-three billion, four hundred million, three hundred eighty-four thousand".