78213999168 has 280 divisors, whose sum is σ = 244605759200. Its totient is φ = 24643325952.

The previous prime is 78213999167. The next prime is 78213999173. The reversal of 78213999168 is 86199931287.

78213999168 is a `hidden beast` number, since 7 + 82 + 1 + 399 + 9 + 168 = 666.

It is a super-2 number, since 2×78213999168² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78213999167) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 77515848 + ... + 77516856.

Almost surely, 2^78213999168 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 78213999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122302879600).

78213999168 is an abundant number, since it is smaller than the sum of its proper divisors (166391760032).

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

78213999168 is a wasteful number, since it uses less digits than its factorization.

78213999168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1820 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 78213999168 in words is "seventy-eight billion, two hundred thirteen million, nine hundred ninety-nine thousand, one hundred sixty-eight".