210856423680 has 1728 divisors, whose sum is σ = 934399065600. Its totient is φ = 43698880512.

The previous prime is 210856423601. The next prime is 210856423759. The reversal of 210856423680 is 86324658012.

210856423680 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 564 + 2 + 3 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (210856423601) and next prime (210856423759).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2888444124 + ... + 2888444196.

It is an arithmetic number, because the mean of its divisors is an integer number (540740200).

Almost surely, 2^210856423680 is an apocalyptic number.

210856423680 is a gapful number since it is divisible by the number (20) 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 210856423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467199532800).

210856423680 is an abundant number, since it is smaller than the sum of its proper divisors (723542641920).

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

210856423680 is a wasteful number, since it uses less digits than its factorization.

210856423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 210856423680 in words is "two hundred ten billion, eight hundred fifty-six million, four hundred twenty-three thousand, six hundred eighty".