850221852480 has 2352 divisors, whose sum is σ = 4118915482752. Its totient is φ = 162586828800.

The previous prime is 850221852479. The next prime is 850221852497. The reversal of 850221852480 is 84258122058.

850221852480 is a `hidden beast` number, since 8 + 502 + 2 + 18 + 52 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2568645915 + ... + 2568646245.

It is an arithmetic number, because the mean of its divisors is an integer number (1751239576).

Almost surely, 2^850221852480 is an apocalyptic number.

850221852480 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 850221852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059457741376).

850221852480 is an abundant number, since it is smaller than the sum of its proper divisors (3268693630272).

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

850221852480 is a wasteful number, since it uses less digits than its factorization.

850221852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 850221852480 in words is "eight hundred fifty billion, two hundred twenty-one million, eight hundred fifty-two thousand, four hundred eighty".