864376111200 has 1296 divisors, whose sum is σ = 3600735631920. Its totient is φ = 179333038080.

The previous prime is 864376111177. The next prime is 864376111213. The reversal of 864376111200 is 2111673468.

It is a super-2 number, since 2×864376111200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 985605162 + ... + 985606038.

It is an arithmetic number, because the mean of its divisors is an integer number (2778345395).

Almost surely, 2^864376111200 is an apocalyptic number.

864376111200 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 864376111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800367815960).

864376111200 is an abundant number, since it is smaller than the sum of its proper divisors (2736359520720).

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

864376111200 is a wasteful number, since it uses less digits than its factorization.

864376111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

Adding to 864376111200 its reverse (2111673468), we get a palindrome (866487784668).

The spelling of 864376111200 in words is "eight hundred sixty-four billion, three hundred seventy-six million, one hundred eleven thousand, two hundred".