10084408540800 has 1152 divisors, whose sum is σ = 39130209881280. Its totient is φ = 2262761472000.

The previous prime is 10084408540799. The next prime is 10084408540813. The reversal of 10084408540800 is 804580448001.

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, 1861619692 + ... + 1861625108.

Almost surely, 2^{10084408540800} is an apocalyptic number.

10084408540800 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 10084408540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565104940640).

10084408540800 is an abundant number, since it is smaller than the sum of its proper divisors (29045801340480).

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

10084408540800 is a wasteful number, since it uses less digits than its factorization.

10084408540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

Adding to 10084408540800 its reverse (804580448001), we get a palindrome (10888988988801).

The spelling of 10084408540800 in words is "ten trillion, eighty-four billion, four hundred eight million, five hundred forty thousand, eight hundred".