212209533296640 has 4032 divisors, whose sum is σ = 899071090864128. Its totient is φ = 47865562398720.

The previous prime is 212209533296611. The next prime is 212209533296647. The reversal of 212209533296640 is 46692335902212.

It is a happy number.

212209533296640 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 9 + 533 + 2 + 9 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (212209533296647) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1301898977199 + ... + 1301898977361.

It is an arithmetic number, because the mean of its divisors is an integer number (222983901504).

Almost surely, 2^{212209533296640} is an apocalyptic number.

212209533296640 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 212209533296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449535545432064).

212209533296640 is an abundant number, since it is smaller than the sum of its proper divisors (686861557567488).

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

212209533296640 is a wasteful number, since it uses less digits than its factorization.

212209533296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 212209533296640 in words is "two hundred twelve trillion, two hundred nine billion, five hundred thirty-three million, two hundred ninety-six thousand, six hundred forty".