856213636320 has 2160 divisors, whose sum is σ = 3852159008544. Its totient is φ = 178188595200.

The previous prime is 856213636309. The next prime is 856213636337. The reversal of 856213636320 is 23636312658.

856213636320 is a `hidden beast` number, since 8 + 5 + 6 + 2 + 1 + 3 + 6 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 14036289090 + ... + 14036289150.

Almost surely, 2^856213636320 is an apocalyptic number.

856213636320 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 856213636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926079504272).

856213636320 is an abundant number, since it is smaller than the sum of its proper divisors (2995945372224).

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

856213636320 is a wasteful number, since it uses less digits than its factorization.

856213636320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 856213636320 its reverse (23636312658), we get a palindrome (879849948978).

The spelling of 856213636320 in words is "eight hundred fifty-six billion, two hundred thirteen million, six hundred thirty-six thousand, three hundred twenty".