104553796744800 has 1728 divisors, whose sum is σ = 434110435153920. Its totient is φ = 24232006656000.

The previous prime is 104553796744777. The next prime is 104553796744811. The reversal of 104553796744800 is 8447697355401.

104553796744800 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 537 + 96 + 7 + 4 + 4 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4186996315 + ... + 4187021285.

It is an arithmetic number, because the mean of its divisors is an integer number (251221316640).

Almost surely, 2^{104553796744800} is an apocalyptic number.

104553796744800 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 104553796744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217055217576960).

104553796744800 is an abundant number, since it is smaller than the sum of its proper divisors (329556638409120).

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

104553796744800 is a wasteful number, since it uses less digits than its factorization.

104553796744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25094 (or 25062 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 104553796744800 in words is "one hundred four trillion, five hundred fifty-three billion, seven hundred ninety-six million, seven hundred forty-four thousand, eight hundred".