851702080320 has 2016 divisors, whose sum is σ = 3898240819200. Its totient is φ = 166605963264.

The previous prime is 851702080309. The next prime is 851702080351. The reversal of 851702080320 is 23080207158.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 3819291729 + ... + 3819291951.

It is an arithmetic number, because the mean of its divisors is an integer number (1933651200).

Almost surely, 2^851702080320 is an apocalyptic number.

851702080320 is a gapful number since it is divisible by the number (80) 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 851702080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949120409600).

851702080320 is an abundant number, since it is smaller than the sum of its proper divisors (3046538738880).

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

851702080320 is a wasteful number, since it uses less digits than its factorization.

851702080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 851702080320 its reverse (23080207158), we get a palindrome (874782287478).

The spelling of 851702080320 in words is "eight hundred fifty-one billion, seven hundred two million, eighty thousand, three hundred twenty".