104938530278400 has 1584 divisors, whose sum is σ = 478385265758400. Its totient is φ = 21377274347520.

The previous prime is 104938530278389. The next prime is 104938530278423. The reversal of 104938530278400 is 4872035839401.

It is a happy number.

104938530278400 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 3 + 8 + 530 + 27 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×104938530278400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 607939306 + ... + 608111894.

It is an arithmetic number, because the mean of its divisors is an integer number (302010900100).

Almost surely, 2^{104938530278400} is an apocalyptic number.

104938530278400 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 104938530278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239192632879200).

104938530278400 is an abundant number, since it is smaller than the sum of its proper divisors (373446735480000).

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

104938530278400 is a wasteful number, since it uses less digits than its factorization.

104938530278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172674 (or 172648 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 104938530278400 in words is "one hundred four trillion, nine hundred thirty-eight billion, five hundred thirty million, two hundred seventy-eight thousand, four hundred".