104169438720 has 320 divisors, whose sum is σ = 373321016640. Its totient is φ = 27530625024.

The previous prime is 104169438707. The next prime is 104169438767. The reversal of 104169438720 is 27834961401.

104169438720 is a `hidden beast` number, since 104 + 169 + 4 + 387 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7803892 + ... + 7817228.

It is an arithmetic number, because the mean of its divisors is an integer number (1166628177).

Almost surely, 2^104169438720 is an apocalyptic number.

104169438720 is a gapful number since it is divisible by the number (10) 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 104169438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186660508320).

104169438720 is an abundant number, since it is smaller than the sum of its proper divisors (269151577920).

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

104169438720 is a wasteful number, since it uses less digits than its factorization.

104169438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13482 (or 13460 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 104169438720 in words is "one hundred four billion, one hundred sixty-nine million, four hundred thirty-eight thousand, seven hundred twenty".