1795200161850 has 288 divisors, whose sum is σ = 5123226985344. Its totient is φ = 449702668800.

The previous prime is 1795200161849. The next prime is 1795200161861. The reversal of 1795200161850 is 581610025971.

1795200161850 is a `hidden beast` number, since 1 + 7 + 9 + 5 + 20 + 0 + 1 + 618 + 5 + 0 = 666.

It is a super-2 number, since 2×1795200161850² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1795200161796 and 1795200161805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 496870644 + ... + 496874256.

It is an arithmetic number, because the mean of its divisors is an integer number (17788982588).

Almost surely, 2^{1795200161850} is an apocalyptic number.

1795200161850 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 1795200161850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561613492672).

1795200161850 is an abundant number, since it is smaller than the sum of its proper divisors (3328026823494).

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

1795200161850 is a wasteful number, since it uses less digits than its factorization.

1795200161850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 1795200161850 in words is "one trillion, seven hundred ninety-five billion, two hundred million, one hundred sixty-one thousand, eight hundred fifty".