10050172085184 has 896 divisors, whose sum is σ = 35779403980800. Its totient is φ = 2411321425920.

The previous prime is 10050172085171. The next prime is 10050172085207. The reversal of 10050172085184 is 48158027105001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1824978559 + ... + 1824984065.

Almost surely, 2^{10050172085184} is an apocalyptic number.

10050172085184 is a gapful number since it is divisible by the number (14) 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 10050172085184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889701990400).

10050172085184 is an abundant number, since it is smaller than the sum of its proper divisors (25729231895616).

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

10050172085184 is a wasteful number, since it uses less digits than its factorization.

10050172085184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 42.

The spelling of 10050172085184 in words is "ten trillion, fifty billion, one hundred seventy-two million, eighty-five thousand, one hundred eighty-four".