104848525900800 has 1584 divisors, whose sum is σ = 418318104177792. Its totient is φ = 24875207884800.

The previous prime is 104848525900757. The next prime is 104848525900813. The reversal of 104848525900800 is 8009525848401.

104848525900800 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 48 + 5 + 2 + 590 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73474789687 + ... + 73474791113.

Almost surely, 2^{104848525900800} is an apocalyptic number.

104848525900800 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 104848525900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209159052088896).

104848525900800 is an abundant number, since it is smaller than the sum of its proper divisors (313469578276992).

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

104848525900800 is a wasteful number, since it uses less digits than its factorization.

104848525900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 104848525900800 in words is "one hundred four trillion, eight hundred forty-eight billion, five hundred twenty-five million, nine hundred thousand, eight hundred".