210066587136 has 1120 divisors, whose sum is σ = 770925532608. Its totient is φ = 55897620480.

The previous prime is 210066587131. The next prime is 210066587141. The reversal of 210066587136 is 631785660012.

210066587136 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 66 + 587 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (210066587131) and next prime (210066587141).

It is a junction number, because it is equal to n+sod(n) for n = 210066587091 and 210066587100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210066587131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3963520486 + ... + 3963520538.

Almost surely, 2^210066587136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210066587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385462766304).

210066587136 is an abundant number, since it is smaller than the sum of its proper divisors (560858945472).

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

210066587136 is an frugal number, since it uses more digits than its factorization.

210066587136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 210066587136 in words is "two hundred ten billion, sixty-six million, five hundred eighty-seven thousand, one hundred thirty-six".