104538816000 has 320 divisors, whose sum is σ = 386190192960. Its totient is φ = 27876556800.

The previous prime is 104538815963. The next prime is 104538816077. The reversal of 104538816000 is 618835401.

104538816000 is a `hidden beast` number, since 1 + 0 + 45 + 3 + 8 + 8 + 1 + 600 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1697752 + ... + 1758248.

It is an arithmetic number, because the mean of its divisors is an integer number (1206844353).

Almost surely, 2^104538816000 is an apocalyptic number.

104538816000 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 104538816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193095096480).

104538816000 is an abundant number, since it is smaller than the sum of its proper divisors (281651376960).

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

104538816000 is an frugal number, since it uses more digits than its factorization.

104538816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60539 (or 60507 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 104538816000 in words is "one hundred four billion, five hundred thirty-eight million, eight hundred sixteen thousand".