851820469613568 has 2816 divisors, whose sum is σ = 3216093382656000. Its totient is φ = 216799956172800.

The previous prime is 851820469613537. The next prime is 851820469613599. The reversal of 851820469613568 is 865316964028158.

851820469613568 is a `hidden beast` number, since 8 + 5 + 1 + 8 + 2 + 0 + 46 + 9 + 6 + 13 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (851820469613537) and next prime (851820469613599).

It is a super-2 number, since 2×851820469613568² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 851820469613496 and 851820469613505.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 2082690634548 + ... + 2082690634956.

It is an arithmetic number, because the mean of its divisors is an integer number (1142078616000).

Almost surely, 2^{851820469613568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851820469613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608046691328000).

851820469613568 is an abundant number, since it is smaller than the sum of its proper divisors (2364272913042432).

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

851820469613568 is a wasteful number, since it uses less digits than its factorization.

851820469613568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 851820469613568 in words is "eight hundred fifty-one trillion, eight hundred twenty billion, four hundred sixty-nine million, six hundred thirteen thousand, five hundred sixty-eight".