216133640121510 has 160 divisors (see below), whose sum is σ = 584359026878880. Its totient is φ = 57319113964032.

The previous prime is 216133640121439. The next prime is 216133640121517. The reversal of 216133640121510 is 15121046331612.

216133640121510 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 3 + 3 + 640 + 1 + 2 + 1 + 5 + 1 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216133640121517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115751874 + ... + 117604266.

It is an arithmetic number, because the mean of its divisors is an integer number (3652243917993).

Almost surely, 2^{216133640121510} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216133640121510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292179513439440).

216133640121510 is an abundant number, since it is smaller than the sum of its proper divisors (368225386757370).

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

216133640121510 is a wasteful number, since it uses less digits than its factorization.

216133640121510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853204 (or 1853195 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 216133640121510 in words is "two hundred sixteen trillion, one hundred thirty-three billion, six hundred forty million, one hundred twenty-one thousand, five hundred ten".