850261164480 has 896 divisors, whose sum is σ = 3699150336000. Its totient is φ = 179035619328.

The previous prime is 850261164449. The next prime is 850261164481. The reversal of 850261164480 is 84461162058.

It is a happy number.

850261164480 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 6 + 1 + 164 + 480 = 666.

It is a super-2 number, since 2×850261164480² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (850261164481) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 607762821 + ... + 607764219.

It is an arithmetic number, because the mean of its divisors is an integer number (4128516000).

Almost surely, 2^850261164480 is an apocalyptic number.

850261164480 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 850261164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849575168000).

850261164480 is an abundant number, since it is smaller than the sum of its proper divisors (2848889171520).

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

850261164480 is a wasteful number, since it uses less digits than its factorization.

850261164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 850261164480 in words is "eight hundred fifty billion, two hundred sixty-one million, one hundred sixty-four thousand, four hundred eighty".