10084705671750 has 192 divisors, whose sum is σ = 25963596719424. Its totient is φ = 2605298688000.

The previous prime is 10084705671721. The next prime is 10084705671769. The reversal of 10084705671750 is 5717650748001.

It is a junction number, because it is equal to n+sod(n) for n = 10084705671693 and 10084705671702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1611744622 + ... + 1611750878.

It is an arithmetic number, because the mean of its divisors is an integer number (135227066247).

Almost surely, 2^{10084705671750} is an apocalyptic number.

10084705671750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10084705671750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981798359712).

10084705671750 is an abundant number, since it is smaller than the sum of its proper divisors (15878891047674).

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

10084705671750 is an equidigital number, since it uses as much as digits as its factorization.

10084705671750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 51.

The spelling of 10084705671750 in words is "ten trillion, eighty-four billion, seven hundred five million, six hundred seventy-one thousand, seven hundred fifty".