850725733423104 has 3456 divisors, whose sum is σ = 3453116263833600. Its totient is φ = 206301634560000.

The previous prime is 850725733423099. The next prime is 850725733423109. The reversal of 850725733423104 is 401324337527058.

It is a happy number.

850725733423104 is a `hidden beast` number, since 8 + 5 + 0 + 7 + 2 + 573 + 34 + 2 + 31 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (850725733423099) and next prime (850725733423109).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850725733423109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 361856967529 + ... + 361856969879.

It is an arithmetic number, because the mean of its divisors is an integer number (999165585600).

Almost surely, 2^{850725733423104} is an apocalyptic number.

850725733423104 is a gapful number since it is divisible by the number (84) 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 850725733423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726558131916800).

850725733423104 is an abundant number, since it is smaller than the sum of its proper divisors (2602390530410496).

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

850725733423104 is a wasteful number, since it uses less digits than its factorization.

850725733423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 850725733423104 in words is "eight hundred fifty trillion, seven hundred twenty-five billion, seven hundred thirty-three million, four hundred twenty-three thousand, one hundred four".