863999136000 has 4032 divisors, whose sum is σ = 4449882318336. Its totient is φ = 161243136000.

The previous prime is 863999135959. The next prime is 863999136073. The reversal of 863999136000 is 631999368.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 23351327982 + ... + 23351328018.

It is an arithmetic number, because the mean of its divisors is an integer number (1103641448).

Almost surely, 2^863999136000 is an apocalyptic number.

863999136000 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 863999136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224941159168).

863999136000 is an abundant number, since it is smaller than the sum of its proper divisors (3585883182336).

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

863999136000 is a wasteful number, since it uses less digits than its factorization.

863999136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

It can be divided in two parts, 863999 and 136000, that added together give a palindrome (999999).

The spelling of 863999136000 in words is "eight hundred sixty-three billion, nine hundred ninety-nine million, one hundred thirty-six thousand".