8168406721120 has 96 divisors (see below), whose sum is σ = 19978640176320. Its totient is φ = 3152271575040.

The previous prime is 8168406721117. The next prime is 8168406721121. The reversal of 8168406721120 is 211276048618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8168406721121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5370390 + ... + 6721450.

It is an arithmetic number, because the mean of its divisors is an integer number (208110835170).

Almost surely, 2^{8168406721120} is an apocalyptic number.

8168406721120 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 8168406721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9989320088160).

8168406721120 is an abundant number, since it is smaller than the sum of its proper divisors (11810233455200).

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

8168406721120 is a wasteful number, since it uses less digits than its factorization.

8168406721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352408 (or 1352400 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 8168406721120 in words is "eight trillion, one hundred sixty-eight billion, four hundred six million, seven hundred twenty-one thousand, one hundred twenty".