78168272896 has 104 divisors (see below), whose sum is σ = 180424008864. Its totient is φ = 33167769600.

The previous prime is 78168272821. The next prime is 78168272927. The reversal of 78168272896 is 69827286187.

It is a super-2 number, since 2×78168272896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2882376 + ... + 2909368.

Almost surely, 2^78168272896 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 78168272896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90212004432).

78168272896 is an abundant number, since it is smaller than the sum of its proper divisors (102255735968).

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

78168272896 is a wasteful number, since it uses less digits than its factorization.

78168272896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27125 (or 27103 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 64.

The spelling of 78168272896 in words is "seventy-eight billion, one hundred sixty-eight million, two hundred seventy-two thousand, eight hundred ninety-six".