10084535500800 has 480 divisors, whose sum is σ = 34426009094400. Its totient is φ = 2602146201600.

The previous prime is 10084535500757. The next prime is 10084535500813. The reversal of 10084535500800 is 800553548001.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1218965464 + ... + 1218973736.

It is an arithmetic number, because the mean of its divisors is an integer number (71720852280).

Almost surely, 2^{10084535500800} is an apocalyptic number.

10084535500800 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 10084535500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213004547200).

10084535500800 is an abundant number, since it is smaller than the sum of its proper divisors (24341473593600).

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

10084535500800 is an frugal number, since it uses more digits than its factorization.

10084535500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 10084535500800 in words is "ten trillion, eighty-four billion, five hundred thirty-five million, five hundred thousand, eight hundred".