215406053612200 has 192 divisors, whose sum is σ = 547293315985920. Its totient is φ = 78194074464000.

The previous prime is 215406053612131. The next prime is 215406053612207. The reversal of 215406053612200 is 2216350604512.

It is a self number, because there is not a number n which added to its sum of digits gives 215406053612200.

It is not an unprimeable number, because it can be changed into a prime (215406053612207) 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 47 ways as a sum of consecutive naturals, for example, 3019096927 + ... + 3019168273.

It is an arithmetic number, because the mean of its divisors is an integer number (2850486020760).

Almost surely, 2^{215406053612200} is an apocalyptic number.

215406053612200 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 215406053612200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273646657992960).

215406053612200 is an abundant number, since it is smaller than the sum of its proper divisors (331887262373720).

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

215406053612200 is a wasteful number, since it uses less digits than its factorization.

215406053612200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73728 (or 73719 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 215406053612200 in words is "two hundred fifteen trillion, four hundred six billion, fifty-three million, six hundred twelve thousand, two hundred".