856221952320 has 1792 divisors, whose sum is σ = 3767620608000. Its totient is φ = 178729058304.

The previous prime is 856221952297. The next prime is 856221952337. The reversal of 856221952320 is 23259122658.

856221952320 is a `hidden beast` number, since 8 + 5 + 62 + 219 + 52 + 320 = 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 255 ways as a sum of consecutive naturals, for example, 4949259754 + ... + 4949259926.

Almost surely, 2^856221952320 is an apocalyptic number.

856221952320 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 856221952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883810304000).

856221952320 is an abundant number, since it is smaller than the sum of its proper divisors (2911398655680).

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

856221952320 is a wasteful number, since it uses less digits than its factorization.

856221952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 856221952320 in words is "eight hundred fifty-six billion, two hundred twenty-one million, nine hundred fifty-two thousand, three hundred twenty".