78468417211000 has 128 divisors (see below), whose sum is σ = 185892617252160. Its totient is φ = 30998479680000.

The previous prime is 78468417210961. The next prime is 78468417211007. The reversal of 78468417211000 is 11271486487.

It is a happy number.

It is a super-2 number, since 2×78468417211000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78468417211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241948950 + ... + 242273050.

Almost surely, 2^{78468417211000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78468417211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92946308626080).

78468417211000 is an abundant number, since it is smaller than the sum of its proper divisors (107424200041160).

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

78468417211000 is a wasteful number, since it uses less digits than its factorization.

78468417211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327122 (or 327108 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

Adding to 78468417211000 its reverse (11271486487), we get a palindrome (78479688697487).

The spelling of 78468417211000 in words is "seventy-eight trillion, four hundred sixty-eight billion, four hundred seventeen million, two hundred eleven thousand".