850868412516864 has 240 divisors, whose sum is σ = 2929834422345600. Its totient is φ = 243105260525568.

The previous prime is 850868412516839. The next prime is 850868412516877. The reversal of 850868412516864 is 468615214868058.

850868412516864 is a `hidden beast` number, since 8 + 5 + 0 + 8 + 6 + 8 + 41 + 2 + 516 + 8 + 64 = 666.

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 = 850868412516792 and 850868412516801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627384744 + ... + 628739495.

It is an arithmetic number, because the mean of its divisors is an integer number (12207643426440).

Almost surely, 2^{850868412516864} is an apocalyptic number.

850868412516864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

850868412516864 is an abundant number, since it is smaller than the sum of its proper divisors (2078966009828736).

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

850868412516864 is a wasteful number, since it uses less digits than its factorization.

850868412516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256124280 (or 1256124251 counting only the distinct ones).

The product of its (nonzero) digits is 707788800, while the sum is 72.

The spelling of 850868412516864 in words is "eight hundred fifty trillion, eight hundred sixty-eight billion, four hundred twelve million, five hundred sixteen thousand, eight hundred sixty-four".