867110400000 has 1248 divisors, whose sum is σ = 3475833157440. Its totient is φ = 212336640000.

The previous prime is 867110399993. The next prime is 867110400017. The reversal of 867110400000 is 4011768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4492799904 + ... + 4492800096.

Almost surely, 2^867110400000 is an apocalyptic number.

867110400000 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 867110400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737916578720).

867110400000 is an abundant number, since it is smaller than the sum of its proper divisors (2608722757440).

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

867110400000 is an equidigital number, since it uses as much as digits as its factorization.

867110400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 867110400000 its reverse (4011768), we get a palindrome (867114411768).

The spelling of 867110400000 in words is "eight hundred sixty-seven billion, one hundred ten million, four hundred thousand".